Solve 2[2-(32/4*15/5-28/7*45/15)]-17

$$2 [ 2 - ( \frac { 32 } { 4 } \cdot \frac { 15 } { 5 } - \frac { 28 } { 7 } \cdot \frac { 45 } { 15 } ) ] - 17$$

Evaluate

$$-37$$

Solution Steps

Divide 32 by 4 to get 8.

$$2\left(2-\left(8\times \frac{15}{5}-\frac{28}{7}\times \frac{45}{15}\right)\right)-17$$

Divide 15 by 5 to get 3.

$$2\left(2-\left(8\times 3-\frac{28}{7}\times \frac{45}{15}\right)\right)-17$$

Multiply 8 and 3 to get 24.

$$2\left(2-\left(24-\frac{28}{7}\times \frac{45}{15}\right)\right)-17$$

Divide 28 by 7 to get 4.

$$2\left(2-\left(24-4\times \frac{45}{15}\right)\right)-17$$

Divide 45 by 15 to get 3.

$$2\left(2-\left(24-4\times 3\right)\right)-17$$

Multiply 4 and 3 to get 12.

$$2\left(2-\left(24-12\right)\right)-17$$

Subtract 12 from 24 to get 12.

$$2\left(2-12\right)-17$$

Subtract 12 from 2 to get -10.

$$2\left(-10\right)-17$$

Multiply 2 and -10 to get -20.

$$-20-17$$

Subtract 17 from -20 to get -37.

$$-37$$

Factor

$$-37$$