(9x+12)(9x-12)=81x-144

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Solution for (9x+12)(9x-12)=81x-144 equation: 


Simplifying
(9x + 12)(9x + -12) = 81x + -144

Reorder the terms:
(12 + 9x)(9x + -12) = 81x + -144

Reorder the terms:
(12 + 9x)(-12 + 9x) = 81x + -144

Multiply (12 + 9x) * (-12 + 9x)
(12(-12 + 9x) + 9x * (-12 + 9x)) = 81x + -144
((-12 * 12 + 9x * 12) + 9x * (-12 + 9x)) = 81x + -144
((-144 + 108x) + 9x * (-12 + 9x)) = 81x + -144
(-144 + 108x + (-12 * 9x + 9x * 9x)) = 81x + -144
(-144 + 108x + (-108x + 81x2)) = 81x + -144

Combine like terms: 108x + -108x = 0
(-144 + 0 + 81x2) = 81x + -144
(-144 + 81x2) = 81x + -144

Reorder the terms:
-144 + 81x2 = -144 + 81x

Add '144' to each side of the equation.
-144 + 144 + 81x2 = -144 + 144 + 81x

Combine like terms: -144 + 144 = 0
0 + 81x2 = -144 + 144 + 81x
81x2 = -144 + 144 + 81x

Combine like terms: -144 + 144 = 0
81x2 = 0 + 81x
81x2 = 81x

Solving
81x2 = 81x

Solving for variable 'x'.

Reorder the terms:
-81x + 81x2 = 81x + -81x

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

Factor out the Greatest Common Factor (GCF), '81x'.
81x(-1 + x) = 0

Ignore the factor 81.

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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