(9x-6)(9x+6)=0

Solution for (9x-6)(9x+6)=0 equation:

Simplifying
(9x + -6)(9x + 6) = 0

Reorder the terms:
(-6 + 9x)(9x + 6) = 0

Reorder the terms:
(-6 + 9x)(6 + 9x) = 0

Multiply (-6 + 9x) * (6 + 9x)
(-6(6 + 9x) + 9x * (6 + 9x)) = 0
((6 * -6 + 9x * -6) + 9x * (6 + 9x)) = 0
((-36 + -54x) + 9x * (6 + 9x)) = 0
(-36 + -54x + (6 * 9x + 9x * 9x)) = 0
(-36 + -54x + (54x + 81x2)) = 0

Combine like terms: -54x + 54x = 0
(-36 + 0 + 81x2) = 0
(-36 + 81x2) = 0

Solving
-36 + 81x2 = 0

Solving for variable 'x'.

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

Add '36' to each side of the equation.
-36 + 36 + 81x2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 81x2 = 0 + 36
81x2 = 0 + 36

Combine like terms: 0 + 36 = 36
81x2 = 36

Divide each side by '81'.
x2 = 0.4444444444

Simplifying
x2 = 0.4444444444

Take the square root of each side:
x = {-0.666666667, 0.666666667}