Solve {left(-5/2right)}^2+5(-5/2)=

$${ \left(- \frac{ 5 }{ 2 } \right) }^{ 2 } +5(- \frac{ 5 }{ 2 } )=$$

Evaluate

$$-\frac{25}{4}=-6.25$$

Solution Steps

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

$$\frac{25}{4}+5\left(-\frac{5}{2}\right)$$

Express 5\left(-\frac{5}{2}\right) as a single fraction.

$$\frac{25}{4}+\frac{5\left(-5\right)}{2}$$

Multiply 5 and -5 to get -25.

$$\frac{25}{4}+\frac{-25}{2}$$

Fraction \frac{-25}{2} can be rewritten as -\frac{25}{2} by extracting the negative sign.

$$\frac{25}{4}-\frac{25}{2}$$

Least common multiple of 4 and 2 is 4. Convert \frac{25}{4} and \frac{25}{2} to fractions with denominator 4.

$$\frac{25}{4}-\frac{50}{4}$$

Since \frac{25}{4} and \frac{50}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-50}{4}$$

Subtract 50 from 25 to get -25.

$$-\frac{25}{4}$$

Factor

$$-\frac{25}{4} = -6\frac{1}{4} = -6.25$$