(z+2)(z-2)=

Solution for (z+2)(z-2)= equation:

Simplifying
(z + 2)(z + -2) = 0

Reorder the terms:
(2 + z)(z + -2) = 0

Reorder the terms:
(2 + z)(-2 + z) = 0

Multiply (2 + z) * (-2 + z)
(2(-2 + z) + z(-2 + z)) = 0
((-2 * 2 + z * 2) + z(-2 + z)) = 0
((-4 + 2z) + z(-2 + z)) = 0
(-4 + 2z + (-2 * z + z * z)) = 0
(-4 + 2z + (-2z + z2)) = 0

Combine like terms: 2z + -2z = 0
(-4 + 0 + z2) = 0
(-4 + z2) = 0

Solving
-4 + z2 = 0

Solving for variable 'z'.

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

Add '4' to each side of the equation.
-4 + 4 + z2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + z2 = 0 + 4
z2 = 0 + 4

Combine like terms: 0 + 4 = 4
z2 = 4

Simplifying
z2 = 4

Take the square root of each side:
z = {-2, 2}