Solve 4(5/2)^2-4(5/2)-15

$$4 ( \frac { 5 } { 2 } ) ^ { 2 } - 4 ( \frac { 5 } { 2 } ) - 15$$

Evaluate

$$0$$

Solution Steps

Calculate \frac{5}{2} to the power of 2 and get \frac{25}{4}.

$$4\times \frac{25}{4}-4\times \frac{5}{2}-15$$

Cancel out 4 and 4.

$$25-4\times \frac{5}{2}-15$$

Express 4\times \frac{5}{2} as a single fraction.

$$25-\frac{4\times 5}{2}-15$$

Multiply 4 and 5 to get 20.

$$25-\frac{20}{2}-15$$

Divide 20 by 2 to get 10.

$$25-10-15$$

Subtract 10 from 25 to get 15.

$$15-15$$

Subtract 15 from 15 to get 0.

$$0$$

Factor

$$0$$