(36x+36)(2x-4)=0

Solution for (36x+36)(2x-4)=0 equation:

Simplifying
(36x + 36)(2x + -4) = 0

Reorder the terms:
(36 + 36x)(2x + -4) = 0

Reorder the terms:
(36 + 36x)(-4 + 2x) = 0

Multiply (36 + 36x) * (-4 + 2x)
(36(-4 + 2x) + 36x * (-4 + 2x)) = 0
((-4 * 36 + 2x * 36) + 36x * (-4 + 2x)) = 0
((-144 + 72x) + 36x * (-4 + 2x)) = 0
(-144 + 72x + (-4 * 36x + 2x * 36x)) = 0
(-144 + 72x + (-144x + 72x2)) = 0

Combine like terms: 72x + -144x = -72x
(-144 + -72x + 72x2) = 0

Solving
-144 + -72x + 72x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '72'.
72(-2 + -1x + x2) = 0

Factor a trinomial.
72((-1 + -1x)(2 + -1x)) = 0

Ignore the factor 72.
Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve:

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

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

Add '1' to each side of the equation.
-1 + 1 + -1x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1x = 0 + 1
-1x = 0 + 1

Combine like terms: 0 + 1 = 1
-1x = 1

Divide each side by '-1'.
x = -1

Simplifying
x = -1
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-1, 2}