Solve =15/-2^2-6*3(-2)+2

$$= \frac { 15 } { - 2 ^ { 2 } - 6 } \times 3 ( - 2 ) + 2$$

Evaluate

$$11$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$\frac{15}{-4-6}\times 3\left(-2\right)+2$$

Subtract 6 from -4 to get -10.

$$\frac{15}{-10}\times 3\left(-2\right)+2$$

Reduce the fraction \frac{15}{-10} to lowest terms by extracting and canceling out 5.

$$-\frac{3}{2}\times 3\left(-2\right)+2$$

Express -\frac{3}{2}\times 3 as a single fraction.

$$\frac{-3\times 3}{2}\left(-2\right)+2$$

Multiply -3 and 3 to get -9.

$$\frac{-9}{2}\left(-2\right)+2$$

Fraction \frac{-9}{2} can be rewritten as -\frac{9}{2} by extracting the negative sign.

$$-\frac{9}{2}\left(-2\right)+2$$

Express -\frac{9}{2}\left(-2\right) as a single fraction.

$$\frac{-9\left(-2\right)}{2}+2$$

Multiply -9 and -2 to get 18.

$$\frac{18}{2}+2$$

Divide 18 by 2 to get 9.

$$9+2$$

Add 9 and 2 to get 11.

$$11$$

Factor

$$11$$