(6x+4)(6x-4)=36x-16

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Solution for (6x+4)(6x-4)=36x-16 equation: 


Simplifying
(6x + 4)(6x + -4) = 36x + -16

Reorder the terms:
(4 + 6x)(6x + -4) = 36x + -16

Reorder the terms:
(4 + 6x)(-4 + 6x) = 36x + -16

Multiply (4 + 6x) * (-4 + 6x)
(4(-4 + 6x) + 6x * (-4 + 6x)) = 36x + -16
((-4 * 4 + 6x * 4) + 6x * (-4 + 6x)) = 36x + -16
((-16 + 24x) + 6x * (-4 + 6x)) = 36x + -16
(-16 + 24x + (-4 * 6x + 6x * 6x)) = 36x + -16
(-16 + 24x + (-24x + 36x2)) = 36x + -16

Combine like terms: 24x + -24x = 0
(-16 + 0 + 36x2) = 36x + -16
(-16 + 36x2) = 36x + -16

Reorder the terms:
-16 + 36x2 = -16 + 36x

Add '16' to each side of the equation.
-16 + 16 + 36x2 = -16 + 16 + 36x

Combine like terms: -16 + 16 = 0
0 + 36x2 = -16 + 16 + 36x
36x2 = -16 + 16 + 36x

Combine like terms: -16 + 16 = 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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