Solve -2.5^2-3(-2.5)/-2.5-2

$$\frac{ { -2.5 }^{ 2 } -3(-2.5) }{ -2.5-2 }$$

Evaluate

$$-\frac{55}{18}\approx -3.055555556$$

Solution Steps

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

$$\frac{6.25-3\left(-2.5\right)}{-2.5-2}$$

Multiply 3 and -2.5 to get -7.5.

$$\frac{6.25-\left(-7.5\right)}{-2.5-2}$$

The opposite of -7.5 is 7.5.

$$\frac{6.25+7.5}{-2.5-2}$$

Add 6.25 and 7.5 to get 13.75.

$$\frac{13.75}{-2.5-2}$$

Subtract 2 from -2.5 to get -4.5.

$$\frac{13.75}{-4.5}$$

Expand \frac{13.75}{-4.5} by multiplying both numerator and the denominator by 100.

$$\frac{1375}{-450}$$

Reduce the fraction \frac{1375}{-450} to lowest terms by extracting and canceling out 25.

$$-\frac{55}{18}$$

Factor

$$-\frac{55}{18} = -3\frac{1}{18} = -3.0555555555555554$$