Solve 1/2[5(7+4)+4(-4-2)+7(2-7)]

$$\frac { 1 } { 2 } [ 5 ( 7 + 4 ) + 4 ( - 4 - 2 ) + 7 ( 2 - 7 ) ]$$

Evaluate

$$-2$$

Solution Steps

Add 7 and 4 to get 11.

$$\frac{1}{2}\left(5\times 11+4\left(-4-2\right)+7\left(2-7\right)\right)$$

Multiply 5 and 11 to get 55.

$$\frac{1}{2}\left(55+4\left(-4-2\right)+7\left(2-7\right)\right)$$

Subtract 2 from -4 to get -6.

$$\frac{1}{2}\left(55+4\left(-6\right)+7\left(2-7\right)\right)$$

Multiply 4 and -6 to get -24.

$$\frac{1}{2}\left(55-24+7\left(2-7\right)\right)$$

Subtract 24 from 55 to get 31.

$$\frac{1}{2}\left(31+7\left(2-7\right)\right)$$

Subtract 7 from 2 to get -5.

$$\frac{1}{2}\left(31+7\left(-5\right)\right)$$

Multiply 7 and -5 to get -35.

$$\frac{1}{2}\left(31-35\right)$$

Subtract 35 from 31 to get -4.

$$\frac{1}{2}\left(-4\right)$$

Multiply \frac{1}{2} and -4 to get \frac{-4}{2}.

$$\frac{-4}{2}$$

Divide -4 by 2 to get -2.

$$-2$$

Factor

$$-2$$