(q-6)(q+6)=

Solution for (q-6)(q+6)= equation:

Simplifying
(q + -6)(q + 6) = 0

Reorder the terms:
(-6 + q)(q + 6) = 0

Reorder the terms:
(-6 + q)(6 + q) = 0

Multiply (-6 + q) * (6 + q)
(-6(6 + q) + q(6 + q)) = 0
((6 * -6 + q * -6) + q(6 + q)) = 0
((-36 + -6q) + q(6 + q)) = 0
(-36 + -6q + (6 * q + q * q)) = 0
(-36 + -6q + (6q + q2)) = 0

Combine like terms: -6q + 6q = 0
(-36 + 0 + q2) = 0
(-36 + q2) = 0

Solving
-36 + q2 = 0

Solving for variable 'q'.

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

Add '36' to each side of the equation.
-36 + 36 + q2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + q2 = 0 + 36
q2 = 0 + 36

Combine like terms: 0 + 36 = 36
q2 = 36

Simplifying
q2 = 36

Take the square root of each side:
q = {-6, 6}