Solve =40(-3/8)^2+30(-3/8)+20

$$= 40 ( \frac { - 3 } { 8 } ) ^ { 2 } + 30 ( \frac { - 3 } { 8 } ) + 20$$

Evaluate

$$\frac{115}{8}=14.375$$

Solution Steps

Fraction \frac{-3}{8} can be rewritten as -\frac{3}{8} by extracting the negative sign.

$$40\left(-\frac{3}{8}\right)^{2}+30\times \frac{-3}{8}+20$$

Calculate -\frac{3}{8} to the power of 2 and get \frac{9}{64}.

$$40\times \frac{9}{64}+30\times \frac{-3}{8}+20$$

Multiply 40 and \frac{9}{64} to get \frac{45}{8}.

$$\frac{45}{8}+30\times \frac{-3}{8}+20$$

Fraction \frac{-3}{8} can be rewritten as -\frac{3}{8} by extracting the negative sign.

$$\frac{45}{8}+30\left(-\frac{3}{8}\right)+20$$

Multiply 30 and -\frac{3}{8} to get -\frac{45}{4}.

$$\frac{45}{8}-\frac{45}{4}+20$$

Subtract \frac{45}{4} from \frac{45}{8} to get -\frac{45}{8}.

$$-\frac{45}{8}+20$$

Add -\frac{45}{8} and 20 to get \frac{115}{8}.

$$\frac{115}{8}$$

Factor

$$\frac{5 \cdot 23}{2 ^ {3}} = 14\frac{3}{8} = 14.375$$