Solve -2.5^2-4(-2.5)-8/2(-2.5)+4

$$\frac{ { -2.5 }^{ 2 } -4(-2.5)-8 }{ 2(-2.5)+4 }$$

Evaluate

$$-8.25$$

Solution Steps

Calculate -2.5 to the power of 2 and get 6.25.

$$\frac{6.25-4\left(-2.5\right)-8}{2\left(-2.5\right)+4}$$

Multiply 4 and -2.5 to get -10.

$$\frac{6.25-\left(-10\right)-8}{2\left(-2.5\right)+4}$$

The opposite of -10 is 10.

$$\frac{6.25+10-8}{2\left(-2.5\right)+4}$$

Add 6.25 and 10 to get 16.25.

$$\frac{16.25-8}{2\left(-2.5\right)+4}$$

Subtract 8 from 16.25 to get 8.25.

$$\frac{8.25}{2\left(-2.5\right)+4}$$

Multiply 2 and -2.5 to get -5.

$$\frac{8.25}{-5+4}$$

Add -5 and 4 to get -1.

$$\frac{8.25}{-1}$$

Expand \frac{8.25}{-1} by multiplying both numerator and the denominator by 100.

$$\frac{825}{-100}$$

Reduce the fraction \frac{825}{-100} to lowest terms by extracting and canceling out 25.

$$-\frac{33}{4}$$

Factor

$$-8.25$$