Solve (6^2-4(-3)(-2)]/(6-6^2/4)

$$( 6 ^ { 2 } - 4 ( - 3 ) ( - 2 ) ] / ( 6 - 6 ^ { 2 } / 4 )$$

Evaluate

$$-4$$

Solution Steps

Calculate 6 to the power of 2 and get 36.

$$\frac{36-4\left(-3\right)\left(-2\right)}{6-\frac{6^{2}}{4}}$$

Multiply 4 and -3 to get -12.

$$\frac{36-\left(-12\left(-2\right)\right)}{6-\frac{6^{2}}{4}}$$

Multiply -12 and -2 to get 24.

$$\frac{36-24}{6-\frac{6^{2}}{4}}$$

Subtract 24 from 36 to get 12.

$$\frac{12}{6-\frac{6^{2}}{4}}$$

Calculate 6 to the power of 2 and get 36.

$$\frac{12}{6-\frac{36}{4}}$$

Divide 36 by 4 to get 9.

$$\frac{12}{6-9}$$

Subtract 9 from 6 to get -3.

$$\frac{12}{-3}$$

Divide 12 by -3 to get -4.

$$-4$$

Factor

$$-4$$