Solve 1/2((-5)*(-5-2)+3*(2-(-1))+5*(-5-8-1))

$$\frac { 1 } { 2 } ( ( - 5 ) \times ( - 5 - 2 ) + 3 \times ( 2 - ( - 1 ) ) + 5 \times ( - 5 - 8 - 1 ) )$$

Evaluate

$$-13$$

Solution Steps

Subtract 2 from -5 to get -7.

$$\frac{1}{2}\left(-5\left(-7\right)+3\left(2-\left(-1\right)\right)+5\left(-5-8-1\right)\right)$$

Multiply -5 and -7 to get 35.

$$\frac{1}{2}\left(35+3\left(2-\left(-1\right)\right)+5\left(-5-8-1\right)\right)$$

The opposite of -1 is 1.

$$\frac{1}{2}\left(35+3\left(2+1\right)+5\left(-5-8-1\right)\right)$$

Add 2 and 1 to get 3.

$$\frac{1}{2}\left(35+3\times 3+5\left(-5-8-1\right)\right)$$

Multiply 3 and 3 to get 9.

$$\frac{1}{2}\left(35+9+5\left(-5-8-1\right)\right)$$

Add 35 and 9 to get 44.

$$\frac{1}{2}\left(44+5\left(-5-8-1\right)\right)$$

Subtract 8 from -5 to get -13.

$$\frac{1}{2}\left(44+5\left(-13-1\right)\right)$$

Subtract 1 from -13 to get -14.

$$\frac{1}{2}\left(44+5\left(-14\right)\right)$$

Multiply 5 and -14 to get -70.

$$\frac{1}{2}\left(44-70\right)$$

Subtract 70 from 44 to get -26.

$$\frac{1}{2}\left(-26\right)$$

Multiply \frac{1}{2} and -26 to get \frac{-26}{2}.

$$\frac{-26}{2}$$

Divide -26 by 2 to get -13.

$$-13$$

Factor

$$-13$$