(q+8)(q-8)=

Solution for (q+8)(q-8)= equation:

Simplifying
(q + 8)(q + -8) = 0

Reorder the terms:
(8 + q)(q + -8) = 0

Reorder the terms:
(8 + q)(-8 + q) = 0

Multiply (8 + q) * (-8 + q)
(8(-8 + q) + q(-8 + q)) = 0
((-8 * 8 + q * 8) + q(-8 + q)) = 0
((-64 + 8q) + q(-8 + q)) = 0
(-64 + 8q + (-8 * q + q * q)) = 0
(-64 + 8q + (-8q + q2)) = 0

Combine like terms: 8q + -8q = 0
(-64 + 0 + q2) = 0
(-64 + q2) = 0

Solving
-64 + q2 = 0

Solving for variable 'q'.

Move all terms containing q to the left, all other terms to the right.

Add '64' to each side of the equation.
-64 + 64 + q2 = 0 + 64

Combine like terms: -64 + 64 = 0
0 + q2 = 0 + 64
q2 = 0 + 64

Combine like terms: 0 + 64 = 64
q2 = 64

Simplifying
q2 = 64

Take the square root of each side:
q = {-8, 8}