Solve -5*[(-8+6div2)*3(+20:(-5)+2)(-2)]

$$- 5 \cdot [ ( - 8 + 6 \div 2 ) \cdot 3 ( + 20 : ( - 5 ) + 2 ) ( - 2 ) ]$$

Evaluate

$$300$$

Solution Steps

Divide 6 by 2 to get 3.

$$-5\left(-8+3\right)\times 3\left(\frac{20}{-5}+2\right)\left(-2\right)$$

Add -8 and 3 to get -5.

$$-5\left(-5\right)\times 3\left(\frac{20}{-5}+2\right)\left(-2\right)$$

Multiply -5 and -5 to get 25.

$$25\times 3\left(\frac{20}{-5}+2\right)\left(-2\right)$$

Multiply 25 and 3 to get 75.

$$75\left(\frac{20}{-5}+2\right)\left(-2\right)$$

Divide 20 by -5 to get -4.

$$75\left(-4+2\right)\left(-2\right)$$

Add -4 and 2 to get -2.

$$75\left(-2\right)\left(-2\right)$$

Multiply 75 and -2 to get -150.

$$-150\left(-2\right)$$

Multiply -150 and -2 to get 300.

$$300$$

Factor

$$2^{2}\times 3\times 5^{2}$$