Solve 18x[(-42)div(-14)+11x(-2)]div(-2*4-7*7)=

$$18 x [ ( - 42 ) \div ( - 14 ) + 11 x ( - 2 ) ] \div ( - 2 \times 4 - 7 \times 7 ) =$$

Evaluate

$$-\frac{6x\left(3-22x\right)}{19}$$

Solution Steps

Divide -42 by -14 to get 3.

$$\frac{18x\left(3+11x\left(-2\right)\right)}{-2\times 4-7\times 7}$$

Multiply 11 and -2 to get -22.

$$\frac{18x\left(3-22x\right)}{-2\times 4-7\times 7}$$

Multiply -2 and 4 to get -8.

$$\frac{18x\left(3-22x\right)}{-8-7\times 7}$$

Multiply 7 and 7 to get 49.

$$\frac{18x\left(3-22x\right)}{-8-49}$$

Subtract 49 from -8 to get -57.

$$\frac{18x\left(3-22x\right)}{-57}$$

Divide 18x\left(3-22x\right) by -57 to get -\frac{6}{19}x\left(3-22x\right).

$$-\frac{6}{19}x\left(3-22x\right)$$

Use the distributive property to multiply -\frac{6}{19}x by 3-22x.

$$-\frac{6}{19}x\times 3-\frac{6}{19}x\left(-22\right)x$$

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

$$-\frac{6}{19}x\times 3-\frac{6}{19}x^{2}\left(-22\right)$$

Express -\frac{6}{19}\times 3 as a single fraction.

$$\frac{-6\times 3}{19}x-\frac{6}{19}x^{2}\left(-22\right)$$

Multiply -6 and 3 to get -18.

$$\frac{-18}{19}x-\frac{6}{19}x^{2}\left(-22\right)$$

Fraction \frac{-18}{19} can be rewritten as -\frac{18}{19} by extracting the negative sign.

$$-\frac{18}{19}x-\frac{6}{19}x^{2}\left(-22\right)$$

Express -\frac{6}{19}\left(-22\right) as a single fraction.

$$-\frac{18}{19}x+\frac{-6\left(-22\right)}{19}x^{2}$$

Multiply -6 and -22 to get 132.

$$-\frac{18}{19}x+\frac{132}{19}x^{2}$$

Expand

$$\frac{132x^{2}-18x}{19}$$

Solution Steps

Divide -42 by -14 to get 3.

$$\frac{18x\left(3+11x\left(-2\right)\right)}{-2\times 4-7\times 7}$$

Multiply 11 and -2 to get -22.

$$\frac{18x\left(3-22x\right)}{-2\times 4-7\times 7}$$

Multiply -2 and 4 to get -8.

$$\frac{18x\left(3-22x\right)}{-8-7\times 7}$$

Multiply 7 and 7 to get 49.

$$\frac{18x\left(3-22x\right)}{-8-49}$$

Subtract 49 from -8 to get -57.

$$\frac{18x\left(3-22x\right)}{-57}$$

Divide 18x\left(3-22x\right) by -57 to get -\frac{6}{19}x\left(3-22x\right).

$$-\frac{6}{19}x\left(3-22x\right)$$

Use the distributive property to multiply -\frac{6}{19}x by 3-22x.

$$-\frac{6}{19}x\times 3-\frac{6}{19}x\left(-22\right)x$$

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

$$-\frac{6}{19}x\times 3-\frac{6}{19}x^{2}\left(-22\right)$$

Express -\frac{6}{19}\times 3 as a single fraction.

$$\frac{-6\times 3}{19}x-\frac{6}{19}x^{2}\left(-22\right)$$

Multiply -6 and 3 to get -18.

$$\frac{-18}{19}x-\frac{6}{19}x^{2}\left(-22\right)$$

Fraction \frac{-18}{19} can be rewritten as -\frac{18}{19} by extracting the negative sign.

$$-\frac{18}{19}x-\frac{6}{19}x^{2}\left(-22\right)$$

Express -\frac{6}{19}\left(-22\right) as a single fraction.

$$-\frac{18}{19}x+\frac{-6\left(-22\right)}{19}x^{2}$$

Multiply -6 and -22 to get 132.

$$-\frac{18}{19}x+\frac{132}{19}x^{2}$$