(6x+12)(6x-12)=36x-144

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Solution for (6x+12)(6x-12)=36x-144 equation: 


Simplifying
(6x + 12)(6x + -12) = 36x + -144

Reorder the terms:
(12 + 6x)(6x + -12) = 36x + -144

Reorder the terms:
(12 + 6x)(-12 + 6x) = 36x + -144

Multiply (12 + 6x) * (-12 + 6x)
(12(-12 + 6x) + 6x * (-12 + 6x)) = 36x + -144
((-12 * 12 + 6x * 12) + 6x * (-12 + 6x)) = 36x + -144
((-144 + 72x) + 6x * (-12 + 6x)) = 36x + -144
(-144 + 72x + (-12 * 6x + 6x * 6x)) = 36x + -144
(-144 + 72x + (-72x + 36x2)) = 36x + -144

Combine like terms: 72x + -72x = 0
(-144 + 0 + 36x2) = 36x + -144
(-144 + 36x2) = 36x + -144

Reorder the terms:
-144 + 36x2 = -144 + 36x

Add '144' to each side of the equation.
-144 + 144 + 36x2 = -144 + 144 + 36x

Combine like terms: -144 + 144 = 0
0 + 36x2 = -144 + 144 + 36x
36x2 = -144 + 144 + 36x

Combine like terms: -144 + 144 = 0
36x2 = 0 + 36x
36x2 = 36x

Solving
36x2 = 36x

Solving for variable 'x'.

Reorder the terms:
-36x + 36x2 = 36x + -36x

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

Factor out the Greatest Common Factor (GCF), '36x'.
36x(-1 + x) = 0

Ignore the factor 36.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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

Simplifying
-1 + x = 0

Solving
-1 + x = 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 + x = 0 + 1

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

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

Simplifying
x = 1
Solution
x = {0, 1}

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