(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}