(3-2z)(3+2z)=0

Solution for (3-2z)(3+2z)=0 equation:

Simplifying
(3 + -2z)(3 + 2z) = 0

Multiply (3 + -2z) * (3 + 2z)
(3(3 + 2z) + -2z * (3 + 2z)) = 0
((3 * 3 + 2z * 3) + -2z * (3 + 2z)) = 0
((9 + 6z) + -2z * (3 + 2z)) = 0
(9 + 6z + (3 * -2z + 2z * -2z)) = 0
(9 + 6z + (-6z + -4z2)) = 0

Combine like terms: 6z + -6z = 0
(9 + 0 + -4z2) = 0
(9 + -4z2) = 0

Solving
9 + -4z2 = 0

Solving for variable 'z'.

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

Add '-9' to each side of the equation.
9 + -9 + -4z2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4z2 = 0 + -9
-4z2 = 0 + -9

Combine like terms: 0 + -9 = -9
-4z2 = -9

Divide each side by '-4'.
z2 = 2.25

Simplifying
z2 = 2.25

Take the square root of each side:
z = {-1.5, 1.5}