Solve -(-3/2)^2*(1/9-7/1x)

$$- ( - \frac { 3 } { 2 } ) ^ { 2 } \cdot ( \frac { 1 } { 9 } - \frac { 7 } { 1 } x )$$

Evaluate

$$\frac{63x-1}{4}$$

Solution Steps

Calculate -\frac{3}{2} to the power of 2 and get \frac{9}{4}.

$$-\frac{9}{4}\left(\frac{1}{9}-\frac{7}{1}x\right)$$

Anything divided by one gives itself.

$$-\frac{9}{4}\left(\frac{1}{9}-7x\right)$$

Use the distributive property to multiply -\frac{9}{4} by \frac{1}{9}-7x.

$$-\frac{9}{4}\times \frac{1}{9}-\frac{9}{4}\left(-7\right)x$$

Multiply -\frac{9}{4} times \frac{1}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-9}{4\times 9}-\frac{9}{4}\left(-7\right)x$$

Do the multiplications in the fraction \frac{-9}{4\times 9}.

$$\frac{-9}{36}-\frac{9}{4}\left(-7\right)x$$

Reduce the fraction \frac{-9}{36} to lowest terms by extracting and canceling out 9.

$$-\frac{1}{4}-\frac{9}{4}\left(-7\right)x$$

Express -\frac{9}{4}\left(-7\right) as a single fraction.

$$-\frac{1}{4}+\frac{-9\left(-7\right)}{4}x$$

Multiply -9 and -7 to get 63.

$$-\frac{1}{4}+\frac{63}{4}x$$

Expand

$$\frac{63x-1}{4}$$

Solution Steps

Calculate -\frac{3}{2} to the power of 2 and get \frac{9}{4}.

$$-\frac{9}{4}\left(\frac{1}{9}-\frac{7}{1}x\right)$$

Anything divided by one gives itself.

$$-\frac{9}{4}\left(\frac{1}{9}-7x\right)$$

Use the distributive property to multiply -\frac{9}{4} by \frac{1}{9}-7x.

$$-\frac{9}{4}\times \frac{1}{9}-\frac{9}{4}\left(-7\right)x$$

Multiply -\frac{9}{4} times \frac{1}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-9}{4\times 9}-\frac{9}{4}\left(-7\right)x$$

Do the multiplications in the fraction \frac{-9}{4\times 9}.

$$\frac{-9}{36}-\frac{9}{4}\left(-7\right)x$$

Reduce the fraction \frac{-9}{36} to lowest terms by extracting and canceling out 9.

$$-\frac{1}{4}-\frac{9}{4}\left(-7\right)x$$

Express -\frac{9}{4}\left(-7\right) as a single fraction.

$$-\frac{1}{4}+\frac{-9\left(-7\right)}{4}x$$

Multiply -9 and -7 to get 63.

$$-\frac{1}{4}+\frac{63}{4}x$$