(z-6)(z+6)=

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

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

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

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

Multiply (-6 + z) * (6 + z)
(-6(6 + z) + z(6 + z)) = 0
((6 * -6 + z * -6) + z(6 + z)) = 0
((-36 + -6z) + z(6 + z)) = 0
(-36 + -6z + (6 * z + z * z)) = 0
(-36 + -6z + (6z + z2)) = 0

Combine like terms: -6z + 6z = 0
(-36 + 0 + z2) = 0
(-36 + z2) = 0

Solving
-36 + z2 = 0

Solving for variable 'z'.

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

Add '36' to each side of the equation.
-36 + 36 + z2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + z2 = 0 + 36
z2 = 0 + 36

Combine like terms: 0 + 36 = 36
z2 = 36

Simplifying
z2 = 36

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