(q-4)(q+4)=

Solution for (q-4)(q+4)= equation:

Simplifying
(q + -4)(q + 4) = 0

Reorder the terms:
(-4 + q)(q + 4) = 0

Reorder the terms:
(-4 + q)(4 + q) = 0

Multiply (-4 + q) * (4 + q)
(-4(4 + q) + q(4 + q)) = 0
((4 * -4 + q * -4) + q(4 + q)) = 0
((-16 + -4q) + q(4 + q)) = 0
(-16 + -4q + (4 * q + q * q)) = 0
(-16 + -4q + (4q + q2)) = 0

Combine like terms: -4q + 4q = 0
(-16 + 0 + q2) = 0
(-16 + q2) = 0

Solving
-16 + q2 = 0

Solving for variable 'q'.

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

Add '16' to each side of the equation.
-16 + 16 + q2 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + q2 = 0 + 16
q2 = 0 + 16

Combine like terms: 0 + 16 = 16
q2 = 16

Simplifying
q2 = 16

Take the square root of each side:
q = {-4, 4}