Solve frac{-(3)+sqrt{(3)^2}-4(8)(-7)}{2(8)}

$$\frac { - ( 3 ) + \sqrt { ( 3 ) ^ { 2 } } - 4 ( 8 ) ( - 7 ) } { 2 ( 8 ) }$$

Evaluate

$$14$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$\frac{-3+\sqrt{9}-4\times 8\left(-7\right)}{2\times 8}$$

Calculate the square root of 9 and get 3.

$$\frac{-3+3-4\times 8\left(-7\right)}{2\times 8}$$

Add -3 and 3 to get 0.

$$\frac{0-4\times 8\left(-7\right)}{2\times 8}$$

Multiply 4 and 8 to get 32.

$$\frac{0-32\left(-7\right)}{2\times 8}$$

Multiply 32 and -7 to get -224.

$$\frac{0-\left(-224\right)}{2\times 8}$$

The opposite of -224 is 224.

$$\frac{0+224}{2\times 8}$$

Add 0 and 224 to get 224.

$$\frac{224}{2\times 8}$$

Multiply 2 and 8 to get 16.

$$\frac{224}{16}$$

Divide 224 by 16 to get 14.

$$14$$

Factor

$$2\times 7$$