(4x-4)(9x+9)=0

Solution for (4x-4)(9x+9)=0 equation:

Simplifying
(4x + -4)(9x + 9) = 0

Reorder the terms:
(-4 + 4x)(9x + 9) = 0

Reorder the terms:
(-4 + 4x)(9 + 9x) = 0

Multiply (-4 + 4x) * (9 + 9x)
(-4(9 + 9x) + 4x * (9 + 9x)) = 0
((9 * -4 + 9x * -4) + 4x * (9 + 9x)) = 0
((-36 + -36x) + 4x * (9 + 9x)) = 0
(-36 + -36x + (9 * 4x + 9x * 4x)) = 0
(-36 + -36x + (36x + 36x2)) = 0

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

Solving
-36 + 36x2 = 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 + 36x2 = 0 + 36

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

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

Divide each side by '36'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}