(z-12)(z+12)=0

Solution for (z-12)(z+12)=0 equation:

Simplifying
(z + -12)(z + 12) = 0

Reorder the terms:
(-12 + z)(z + 12) = 0

Reorder the terms:
(-12 + z)(12 + z) = 0

Multiply (-12 + z) * (12 + z)
(-12(12 + z) + z(12 + z)) = 0
((12 * -12 + z * -12) + z(12 + z)) = 0
((-144 + -12z) + z(12 + z)) = 0
(-144 + -12z + (12 * z + z * z)) = 0
(-144 + -12z + (12z + z2)) = 0

Combine like terms: -12z + 12z = 0
(-144 + 0 + z2) = 0
(-144 + z2) = 0

Solving
-144 + z2 = 0

Solving for variable 'z'.

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

Add '144' to each side of the equation.
-144 + 144 + z2 = 0 + 144

Combine like terms: -144 + 144 = 0
0 + z2 = 0 + 144
z2 = 0 + 144

Combine like terms: 0 + 144 = 144
z2 = 144

Simplifying
z2 = 144

Take the square root of each side:
z = {-12, 12}