Solve 2({left(-5/4right)}^2+5(-5/4)-7

$$2( { \left( \frac{ -5 }{ 4 } \right) }^{ 2 } +5( \frac{ -5 }{ 4 } )-7$$

Evaluate

$$-\frac{187}{8}=-23.375$$

Solution Steps

Fraction \frac{-5}{4} can be rewritten as -\frac{5}{4} by extracting the negative sign.

$$2\left(\left(-\frac{5}{4}\right)^{2}+5\times \frac{-5}{4}-7\right)$$

Calculate -\frac{5}{4} to the power of 2 and get \frac{25}{16}.

$$2\left(\frac{25}{16}+5\times \frac{-5}{4}-7\right)$$

Fraction \frac{-5}{4} can be rewritten as -\frac{5}{4} by extracting the negative sign.

$$2\left(\frac{25}{16}+5\left(-\frac{5}{4}\right)-7\right)$$

Multiply 5 and -\frac{5}{4} to get -\frac{25}{4}.

$$2\left(\frac{25}{16}-\frac{25}{4}-7\right)$$

Subtract \frac{25}{4} from \frac{25}{16} to get -\frac{75}{16}.

$$2\left(-\frac{75}{16}-7\right)$$

Subtract 7 from -\frac{75}{16} to get -\frac{187}{16}.

$$2\left(-\frac{187}{16}\right)$$

Multiply 2 and -\frac{187}{16} to get -\frac{187}{8}.

$$-\frac{187}{8}$$

Factor

$$-\frac{187}{8} = -23\frac{3}{8} = -23.375$$