Solve (-3/7x+58/7)(-3/7x+55/7)(-frac{3}{7}x+frac{52}{7})

$$( - \frac { 3 } { 7 } x + \frac { 58 } { 7 } ) ( - \frac { 3 } { 7 } x + \frac { 55 } { 7 } ) ( - \frac { 3 } { 7 } x + \frac { 52 } { 7 } )$$

Evaluate

$$\frac{165880-27198x+1485x^{2}-27x^{3}}{343}$$

Solution Steps

Apply the distributive property by multiplying each term of -\frac{3}{7}x+\frac{58}{7} by each term of -\frac{3}{7}x+\frac{55}{7}.

$$\left(-\frac{3}{7}x\left(-\frac{3}{7}\right)x-\frac{3}{7}x\times \frac{55}{7}+\frac{58}{7}\left(-\frac{3}{7}\right)x+\frac{58}{7}\times \frac{55}{7}\right)\left(-\frac{3}{7}x+\frac{52}{7}\right)$$

Multiply x and x to get x^{2}.

$$\left(-\frac{3}{7}x^{2}\left(-\frac{3}{7}\right)-\frac{3}{7}x\times \frac{55}{7}+\frac{58}{7}\left(-\frac{3}{7}\right)x+\frac{58}{7}\times \frac{55}{7}\right)\left(-\frac{3}{7}x+\frac{52}{7}\right)$$

Multiply -\frac{3}{7} times -\frac{3}{7} by multiplying numerator times numerator and denominator times denominator.

$$\left(\frac{-3\left(-3\right)}{7\times 7}x^{2}-\frac{3}{7}x\times \frac{55}{7}+\frac{58}{7}\left(-\frac{3}{7}\right)x+\frac{58}{7}\times \frac{55}{7}\right)\left(-\frac{3}{7}x+\frac{52}{7}\right)$$

Do the multiplications in the fraction \frac{-3\left(-3\right)}{7\times 7}.

$$\left(\frac{9}{49}x^{2}-\frac{3}{7}x\times \frac{55}{7}+\frac{58}{7}\left(-\frac{3}{7}\right)x+\frac{58}{7}\times \frac{55}{7}\right)\left(-\frac{3}{7}x+\frac{52}{7}\right)$$

Multiply -\frac{3}{7} times \frac{55}{7} by multiplying numerator times numerator and denominator times denominator.

$$\left(\frac{9}{49}x^{2}+\frac{-3\times 55}{7\times 7}x+\frac{58}{7}\left(-\frac{3}{7}\right)x+\frac{58}{7}\times \frac{55}{7}\right)\left(-\frac{3}{7}x+\frac{52}{7}\right)$$

Do the multiplications in the fraction \frac{-3\times 55}{7\times 7}.

$$\left(\frac{9}{49}x^{2}+\frac{-165}{49}x+\frac{58}{7}\left(-\frac{3}{7}\right)x+\frac{58}{7}\times \frac{55}{7}\right)\left(-\frac{3}{7}x+\frac{52}{7}\right)$$

Fraction \frac{-165}{49} can be rewritten as -\frac{165}{49} by extracting the negative sign.

$$\left(\frac{9}{49}x^{2}-\frac{165}{49}x+\frac{58}{7}\left(-\frac{3}{7}\right)x+\frac{58}{7}\times \frac{55}{7}\right)\left(-\frac{3}{7}x+\frac{52}{7}\right)$$

Multiply \frac{58}{7} times -\frac{3}{7} by multiplying numerator times numerator and denominator times denominator.

$$\left(\frac{9}{49}x^{2}-\frac{165}{49}x+\frac{58\left(-3\right)}{7\times 7}x+\frac{58}{7}\times \frac{55}{7}\right)\left(-\frac{3}{7}x+\frac{52}{7}\right)$$

Do the multiplications in the fraction \frac{58\left(-3\right)}{7\times 7}.

$$\left(\frac{9}{49}x^{2}-\frac{165}{49}x+\frac{-174}{49}x+\frac{58}{7}\times \frac{55}{7}\right)\left(-\frac{3}{7}x+\frac{52}{7}\right)$$

Fraction \frac{-174}{49} can be rewritten as -\frac{174}{49} by extracting the negative sign.

$$\left(\frac{9}{49}x^{2}-\frac{165}{49}x-\frac{174}{49}x+\frac{58}{7}\times \frac{55}{7}\right)\left(-\frac{3}{7}x+\frac{52}{7}\right)$$

Combine -\frac{165}{49}x and -\frac{174}{49}x to get -\frac{339}{49}x.

$$\left(\frac{9}{49}x^{2}-\frac{339}{49}x+\frac{58}{7}\times \frac{55}{7}\right)\left(-\frac{3}{7}x+\frac{52}{7}\right)$$

Multiply \frac{58}{7} times \frac{55}{7} by multiplying numerator times numerator and denominator times denominator.

$$\left(\frac{9}{49}x^{2}-\frac{339}{49}x+\frac{58\times 55}{7\times 7}\right)\left(-\frac{3}{7}x+\frac{52}{7}\right)$$

Do the multiplications in the fraction \frac{58\times 55}{7\times 7}.

$$\left(\frac{9}{49}x^{2}-\frac{339}{49}x+\frac{3190}{49}\right)\left(-\frac{3}{7}x+\frac{52}{7}\right)$$

Apply the distributive property by multiplying each term of \frac{9}{49}x^{2}-\frac{339}{49}x+\frac{3190}{49} by each term of -\frac{3}{7}x+\frac{52}{7}.

$$\frac{9}{49}x^{2}\left(-\frac{3}{7}\right)x+\frac{9}{49}x^{2}\times \frac{52}{7}-\frac{339}{49}x\left(-\frac{3}{7}\right)x-\frac{339}{49}x\times \frac{52}{7}+\frac{3190}{49}\left(-\frac{3}{7}\right)x+\frac{3190}{49}\times \frac{52}{7}$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$\frac{9}{49}x^{3}\left(-\frac{3}{7}\right)+\frac{9}{49}x^{2}\times \frac{52}{7}-\frac{339}{49}x\left(-\frac{3}{7}\right)x-\frac{339}{49}x\times \frac{52}{7}+\frac{3190}{49}\left(-\frac{3}{7}\right)x+\frac{3190}{49}\times \frac{52}{7}$$

Multiply x and x to get x^{2}.

$$\frac{9}{49}x^{3}\left(-\frac{3}{7}\right)+\frac{9}{49}x^{2}\times \frac{52}{7}-\frac{339}{49}x^{2}\left(-\frac{3}{7}\right)-\frac{339}{49}x\times \frac{52}{7}+\frac{3190}{49}\left(-\frac{3}{7}\right)x+\frac{3190}{49}\times \frac{52}{7}$$

Multiply \frac{9}{49} times -\frac{3}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\left(-3\right)}{49\times 7}x^{3}+\frac{9}{49}x^{2}\times \frac{52}{7}-\frac{339}{49}x^{2}\left(-\frac{3}{7}\right)-\frac{339}{49}x\times \frac{52}{7}+\frac{3190}{49}\left(-\frac{3}{7}\right)x+\frac{3190}{49}\times \frac{52}{7}$$

Do the multiplications in the fraction \frac{9\left(-3\right)}{49\times 7}.

$$\frac{-27}{343}x^{3}+\frac{9}{49}x^{2}\times \frac{52}{7}-\frac{339}{49}x^{2}\left(-\frac{3}{7}\right)-\frac{339}{49}x\times \frac{52}{7}+\frac{3190}{49}\left(-\frac{3}{7}\right)x+\frac{3190}{49}\times \frac{52}{7}$$

Fraction \frac{-27}{343} can be rewritten as -\frac{27}{343} by extracting the negative sign.

$$-\frac{27}{343}x^{3}+\frac{9}{49}x^{2}\times \frac{52}{7}-\frac{339}{49}x^{2}\left(-\frac{3}{7}\right)-\frac{339}{49}x\times \frac{52}{7}+\frac{3190}{49}\left(-\frac{3}{7}\right)x+\frac{3190}{49}\times \frac{52}{7}$$

Multiply \frac{9}{49} times \frac{52}{7} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{27}{343}x^{3}+\frac{9\times 52}{49\times 7}x^{2}-\frac{339}{49}x^{2}\left(-\frac{3}{7}\right)-\frac{339}{49}x\times \frac{52}{7}+\frac{3190}{49}\left(-\frac{3}{7}\right)x+\frac{3190}{49}\times \frac{52}{7}$$

Do the multiplications in the fraction \frac{9\times 52}{49\times 7}.

$$-\frac{27}{343}x^{3}+\frac{468}{343}x^{2}-\frac{339}{49}x^{2}\left(-\frac{3}{7}\right)-\frac{339}{49}x\times \frac{52}{7}+\frac{3190}{49}\left(-\frac{3}{7}\right)x+\frac{3190}{49}\times \frac{52}{7}$$

Multiply -\frac{339}{49} times -\frac{3}{7} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{27}{343}x^{3}+\frac{468}{343}x^{2}+\frac{-339\left(-3\right)}{49\times 7}x^{2}-\frac{339}{49}x\times \frac{52}{7}+\frac{3190}{49}\left(-\frac{3}{7}\right)x+\frac{3190}{49}\times \frac{52}{7}$$

Do the multiplications in the fraction \frac{-339\left(-3\right)}{49\times 7}.

$$-\frac{27}{343}x^{3}+\frac{468}{343}x^{2}+\frac{1017}{343}x^{2}-\frac{339}{49}x\times \frac{52}{7}+\frac{3190}{49}\left(-\frac{3}{7}\right)x+\frac{3190}{49}\times \frac{52}{7}$$

Combine \frac{468}{343}x^{2} and \frac{1017}{343}x^{2} to get \frac{1485}{343}x^{2}.

$$-\frac{27}{343}x^{3}+\frac{1485}{343}x^{2}-\frac{339}{49}x\times \frac{52}{7}+\frac{3190}{49}\left(-\frac{3}{7}\right)x+\frac{3190}{49}\times \frac{52}{7}$$

Multiply -\frac{339}{49} times \frac{52}{7} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{27}{343}x^{3}+\frac{1485}{343}x^{2}+\frac{-339\times 52}{49\times 7}x+\frac{3190}{49}\left(-\frac{3}{7}\right)x+\frac{3190}{49}\times \frac{52}{7}$$

Do the multiplications in the fraction \frac{-339\times 52}{49\times 7}.

$$-\frac{27}{343}x^{3}+\frac{1485}{343}x^{2}+\frac{-17628}{343}x+\frac{3190}{49}\left(-\frac{3}{7}\right)x+\frac{3190}{49}\times \frac{52}{7}$$

Fraction \frac{-17628}{343} can be rewritten as -\frac{17628}{343} by extracting the negative sign.

$$-\frac{27}{343}x^{3}+\frac{1485}{343}x^{2}-\frac{17628}{343}x+\frac{3190}{49}\left(-\frac{3}{7}\right)x+\frac{3190}{49}\times \frac{52}{7}$$

Multiply \frac{3190}{49} times -\frac{3}{7} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{27}{343}x^{3}+\frac{1485}{343}x^{2}-\frac{17628}{343}x+\frac{3190\left(-3\right)}{49\times 7}x+\frac{3190}{49}\times \frac{52}{7}$$

Do the multiplications in the fraction \frac{3190\left(-3\right)}{49\times 7}.

$$-\frac{27}{343}x^{3}+\frac{1485}{343}x^{2}-\frac{17628}{343}x+\frac{-9570}{343}x+\frac{3190}{49}\times \frac{52}{7}$$

Fraction \frac{-9570}{343} can be rewritten as -\frac{9570}{343} by extracting the negative sign.

$$-\frac{27}{343}x^{3}+\frac{1485}{343}x^{2}-\frac{17628}{343}x-\frac{9570}{343}x+\frac{3190}{49}\times \frac{52}{7}$$

Combine -\frac{17628}{343}x and -\frac{9570}{343}x to get -\frac{27198}{343}x.

$$-\frac{27}{343}x^{3}+\frac{1485}{343}x^{2}-\frac{27198}{343}x+\frac{3190}{49}\times \frac{52}{7}$$

Multiply \frac{3190}{49} times \frac{52}{7} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{27}{343}x^{3}+\frac{1485}{343}x^{2}-\frac{27198}{343}x+\frac{3190\times 52}{49\times 7}$$

Do the multiplications in the fraction \frac{3190\times 52}{49\times 7}.

$$-\frac{27}{343}x^{3}+\frac{1485}{343}x^{2}-\frac{27198}{343}x+\frac{165880}{343}$$

Expand

$$\frac{165880-27198x+1485x^{2}-27x^{3}}{343}$$

Solution Steps

Apply the distributive property by multiplying each term of -\frac{3}{7}x+\frac{58}{7} by each term of -\frac{3}{7}x+\frac{55}{7}.

$$\left(-\frac{3}{7}x\left(-\frac{3}{7}\right)x-\frac{3}{7}x\times \frac{55}{7}+\frac{58}{7}\left(-\frac{3}{7}\right)x+\frac{58}{7}\times \frac{55}{7}\right)\left(-\frac{3}{7}x+\frac{52}{7}\right)$$

Multiply x and x to get x^{2}.

$$\left(-\frac{3}{7}x^{2}\left(-\frac{3}{7}\right)-\frac{3}{7}x\times \frac{55}{7}+\frac{58}{7}\left(-\frac{3}{7}\right)x+\frac{58}{7}\times \frac{55}{7}\right)\left(-\frac{3}{7}x+\frac{52}{7}\right)$$

Multiply -\frac{3}{7} times -\frac{3}{7} by multiplying numerator times numerator and denominator times denominator.

$$\left(\frac{-3\left(-3\right)}{7\times 7}x^{2}-\frac{3}{7}x\times \frac{55}{7}+\frac{58}{7}\left(-\frac{3}{7}\right)x+\frac{58}{7}\times \frac{55}{7}\right)\left(-\frac{3}{7}x+\frac{52}{7}\right)$$

Do the multiplications in the fraction \frac{-3\left(-3\right)}{7\times 7}.

$$\left(\frac{9}{49}x^{2}-\frac{3}{7}x\times \frac{55}{7}+\frac{58}{7}\left(-\frac{3}{7}\right)x+\frac{58}{7}\times \frac{55}{7}\right)\left(-\frac{3}{7}x+\frac{52}{7}\right)$$

Multiply -\frac{3}{7} times \frac{55}{7} by multiplying numerator times numerator and denominator times denominator.

$$\left(\frac{9}{49}x^{2}+\frac{-3\times 55}{7\times 7}x+\frac{58}{7}\left(-\frac{3}{7}\right)x+\frac{58}{7}\times \frac{55}{7}\right)\left(-\frac{3}{7}x+\frac{52}{7}\right)$$

Do the multiplications in the fraction \frac{-3\times 55}{7\times 7}.

$$\left(\frac{9}{49}x^{2}+\frac{-165}{49}x+\frac{58}{7}\left(-\frac{3}{7}\right)x+\frac{58}{7}\times \frac{55}{7}\right)\left(-\frac{3}{7}x+\frac{52}{7}\right)$$

Fraction \frac{-165}{49} can be rewritten as -\frac{165}{49} by extracting the negative sign.

$$\left(\frac{9}{49}x^{2}-\frac{165}{49}x+\frac{58}{7}\left(-\frac{3}{7}\right)x+\frac{58}{7}\times \frac{55}{7}\right)\left(-\frac{3}{7}x+\frac{52}{7}\right)$$

Multiply \frac{58}{7} times -\frac{3}{7} by multiplying numerator times numerator and denominator times denominator.

$$\left(\frac{9}{49}x^{2}-\frac{165}{49}x+\frac{58\left(-3\right)}{7\times 7}x+\frac{58}{7}\times \frac{55}{7}\right)\left(-\frac{3}{7}x+\frac{52}{7}\right)$$

Do the multiplications in the fraction \frac{58\left(-3\right)}{7\times 7}.

$$\left(\frac{9}{49}x^{2}-\frac{165}{49}x+\frac{-174}{49}x+\frac{58}{7}\times \frac{55}{7}\right)\left(-\frac{3}{7}x+\frac{52}{7}\right)$$

Fraction \frac{-174}{49} can be rewritten as -\frac{174}{49} by extracting the negative sign.

$$\left(\frac{9}{49}x^{2}-\frac{165}{49}x-\frac{174}{49}x+\frac{58}{7}\times \frac{55}{7}\right)\left(-\frac{3}{7}x+\frac{52}{7}\right)$$

Combine -\frac{165}{49}x and -\frac{174}{49}x to get -\frac{339}{49}x.

$$\left(\frac{9}{49}x^{2}-\frac{339}{49}x+\frac{58}{7}\times \frac{55}{7}\right)\left(-\frac{3}{7}x+\frac{52}{7}\right)$$

Multiply \frac{58}{7} times \frac{55}{7} by multiplying numerator times numerator and denominator times denominator.

$$\left(\frac{9}{49}x^{2}-\frac{339}{49}x+\frac{58\times 55}{7\times 7}\right)\left(-\frac{3}{7}x+\frac{52}{7}\right)$$

Do the multiplications in the fraction \frac{58\times 55}{7\times 7}.

$$\left(\frac{9}{49}x^{2}-\frac{339}{49}x+\frac{3190}{49}\right)\left(-\frac{3}{7}x+\frac{52}{7}\right)$$

Apply the distributive property by multiplying each term of \frac{9}{49}x^{2}-\frac{339}{49}x+\frac{3190}{49} by each term of -\frac{3}{7}x+\frac{52}{7}.

$$\frac{9}{49}x^{2}\left(-\frac{3}{7}\right)x+\frac{9}{49}x^{2}\times \frac{52}{7}-\frac{339}{49}x\left(-\frac{3}{7}\right)x-\frac{339}{49}x\times \frac{52}{7}+\frac{3190}{49}\left(-\frac{3}{7}\right)x+\frac{3190}{49}\times \frac{52}{7}$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$\frac{9}{49}x^{3}\left(-\frac{3}{7}\right)+\frac{9}{49}x^{2}\times \frac{52}{7}-\frac{339}{49}x\left(-\frac{3}{7}\right)x-\frac{339}{49}x\times \frac{52}{7}+\frac{3190}{49}\left(-\frac{3}{7}\right)x+\frac{3190}{49}\times \frac{52}{7}$$

Multiply x and x to get x^{2}.

$$\frac{9}{49}x^{3}\left(-\frac{3}{7}\right)+\frac{9}{49}x^{2}\times \frac{52}{7}-\frac{339}{49}x^{2}\left(-\frac{3}{7}\right)-\frac{339}{49}x\times \frac{52}{7}+\frac{3190}{49}\left(-\frac{3}{7}\right)x+\frac{3190}{49}\times \frac{52}{7}$$

Multiply \frac{9}{49} times -\frac{3}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\left(-3\right)}{49\times 7}x^{3}+\frac{9}{49}x^{2}\times \frac{52}{7}-\frac{339}{49}x^{2}\left(-\frac{3}{7}\right)-\frac{339}{49}x\times \frac{52}{7}+\frac{3190}{49}\left(-\frac{3}{7}\right)x+\frac{3190}{49}\times \frac{52}{7}$$

Do the multiplications in the fraction \frac{9\left(-3\right)}{49\times 7}.

$$\frac{-27}{343}x^{3}+\frac{9}{49}x^{2}\times \frac{52}{7}-\frac{339}{49}x^{2}\left(-\frac{3}{7}\right)-\frac{339}{49}x\times \frac{52}{7}+\frac{3190}{49}\left(-\frac{3}{7}\right)x+\frac{3190}{49}\times \frac{52}{7}$$

Fraction \frac{-27}{343} can be rewritten as -\frac{27}{343} by extracting the negative sign.

$$-\frac{27}{343}x^{3}+\frac{9}{49}x^{2}\times \frac{52}{7}-\frac{339}{49}x^{2}\left(-\frac{3}{7}\right)-\frac{339}{49}x\times \frac{52}{7}+\frac{3190}{49}\left(-\frac{3}{7}\right)x+\frac{3190}{49}\times \frac{52}{7}$$

Multiply \frac{9}{49} times \frac{52}{7} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{27}{343}x^{3}+\frac{9\times 52}{49\times 7}x^{2}-\frac{339}{49}x^{2}\left(-\frac{3}{7}\right)-\frac{339}{49}x\times \frac{52}{7}+\frac{3190}{49}\left(-\frac{3}{7}\right)x+\frac{3190}{49}\times \frac{52}{7}$$

Do the multiplications in the fraction \frac{9\times 52}{49\times 7}.

$$-\frac{27}{343}x^{3}+\frac{468}{343}x^{2}-\frac{339}{49}x^{2}\left(-\frac{3}{7}\right)-\frac{339}{49}x\times \frac{52}{7}+\frac{3190}{49}\left(-\frac{3}{7}\right)x+\frac{3190}{49}\times \frac{52}{7}$$

Multiply -\frac{339}{49} times -\frac{3}{7} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{27}{343}x^{3}+\frac{468}{343}x^{2}+\frac{-339\left(-3\right)}{49\times 7}x^{2}-\frac{339}{49}x\times \frac{52}{7}+\frac{3190}{49}\left(-\frac{3}{7}\right)x+\frac{3190}{49}\times \frac{52}{7}$$

Do the multiplications in the fraction \frac{-339\left(-3\right)}{49\times 7}.

$$-\frac{27}{343}x^{3}+\frac{468}{343}x^{2}+\frac{1017}{343}x^{2}-\frac{339}{49}x\times \frac{52}{7}+\frac{3190}{49}\left(-\frac{3}{7}\right)x+\frac{3190}{49}\times \frac{52}{7}$$

Combine \frac{468}{343}x^{2} and \frac{1017}{343}x^{2} to get \frac{1485}{343}x^{2}.

$$-\frac{27}{343}x^{3}+\frac{1485}{343}x^{2}-\frac{339}{49}x\times \frac{52}{7}+\frac{3190}{49}\left(-\frac{3}{7}\right)x+\frac{3190}{49}\times \frac{52}{7}$$

Multiply -\frac{339}{49} times \frac{52}{7} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{27}{343}x^{3}+\frac{1485}{343}x^{2}+\frac{-339\times 52}{49\times 7}x+\frac{3190}{49}\left(-\frac{3}{7}\right)x+\frac{3190}{49}\times \frac{52}{7}$$

Do the multiplications in the fraction \frac{-339\times 52}{49\times 7}.

$$-\frac{27}{343}x^{3}+\frac{1485}{343}x^{2}+\frac{-17628}{343}x+\frac{3190}{49}\left(-\frac{3}{7}\right)x+\frac{3190}{49}\times \frac{52}{7}$$

Fraction \frac{-17628}{343} can be rewritten as -\frac{17628}{343} by extracting the negative sign.

$$-\frac{27}{343}x^{3}+\frac{1485}{343}x^{2}-\frac{17628}{343}x+\frac{3190}{49}\left(-\frac{3}{7}\right)x+\frac{3190}{49}\times \frac{52}{7}$$

Multiply \frac{3190}{49} times -\frac{3}{7} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{27}{343}x^{3}+\frac{1485}{343}x^{2}-\frac{17628}{343}x+\frac{3190\left(-3\right)}{49\times 7}x+\frac{3190}{49}\times \frac{52}{7}$$

Do the multiplications in the fraction \frac{3190\left(-3\right)}{49\times 7}.

$$-\frac{27}{343}x^{3}+\frac{1485}{343}x^{2}-\frac{17628}{343}x+\frac{-9570}{343}x+\frac{3190}{49}\times \frac{52}{7}$$

Fraction \frac{-9570}{343} can be rewritten as -\frac{9570}{343} by extracting the negative sign.

$$-\frac{27}{343}x^{3}+\frac{1485}{343}x^{2}-\frac{17628}{343}x-\frac{9570}{343}x+\frac{3190}{49}\times \frac{52}{7}$$

Combine -\frac{17628}{343}x and -\frac{9570}{343}x to get -\frac{27198}{343}x.

$$-\frac{27}{343}x^{3}+\frac{1485}{343}x^{2}-\frac{27198}{343}x+\frac{3190}{49}\times \frac{52}{7}$$

Multiply \frac{3190}{49} times \frac{52}{7} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{27}{343}x^{3}+\frac{1485}{343}x^{2}-\frac{27198}{343}x+\frac{3190\times 52}{49\times 7}$$

Do the multiplications in the fraction \frac{3190\times 52}{49\times 7}.

$$-\frac{27}{343}x^{3}+\frac{1485}{343}x^{2}-\frac{27198}{343}x+\frac{165880}{343}$$