Solve 4(2)(-3)-(-2)^2/4(2)=

$$\frac { 4 ( 2 ) ( - 3 ) - ( - 2 ) ^ { 2 } } { 4 ( 2 ) } =$$

Evaluate

$$-\frac{7}{2}=-3.5$$

Solution Steps

Multiply 4 and 2 to get 8.

$$\frac{8\left(-3\right)-\left(-2\right)^{2}}{4\times 2}$$

Multiply 8 and -3 to get -24.

$$\frac{-24-\left(-2\right)^{2}}{4\times 2}$$

Calculate -2 to the power of 2 and get 4.

$$\frac{-24-4}{4\times 2}$$

Subtract 4 from -24 to get -28.

$$\frac{-28}{4\times 2}$$

Multiply 4 and 2 to get 8.

$$\frac{-28}{8}$$

Reduce the fraction \frac{-28}{8} to lowest terms by extracting and canceling out 4.

$$-\frac{7}{2}$$

Factor

$$-\frac{7}{2} = -3\frac{1}{2} = -3.5$$