(x-6)(x-6)=2x-12

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Solution for (x-6)(x-6)=2x-12 equation: 


Simplifying
(x + -6)(x + -6) = 2x + -12

Reorder the terms:
(-6 + x)(x + -6) = 2x + -12

Reorder the terms:
(-6 + x)(-6 + x) = 2x + -12

Multiply (-6 + x) * (-6 + x)
(-6(-6 + x) + x(-6 + x)) = 2x + -12
((-6 * -6 + x * -6) + x(-6 + x)) = 2x + -12
((36 + -6x) + x(-6 + x)) = 2x + -12
(36 + -6x + (-6 * x + x * x)) = 2x + -12
(36 + -6x + (-6x + x2)) = 2x + -12

Combine like terms: -6x + -6x = -12x
(36 + -12x + x2) = 2x + -12

Reorder the terms:
36 + -12x + x2 = -12 + 2x

Solving
36 + -12x + x2 = -12 + 2x

Solving for variable 'x'.

Reorder the terms:
36 + 12 + -12x + -2x + x2 = -12 + 2x + 12 + -2x

Combine like terms: 36 + 12 = 48
48 + -12x + -2x + x2 = -12 + 2x + 12 + -2x

Combine like terms: -12x + -2x = -14x
48 + -14x + x2 = -12 + 2x + 12 + -2x

Reorder the terms:
48 + -14x + x2 = -12 + 12 + 2x + -2x

Combine like terms: -12 + 12 = 0
48 + -14x + x2 = 0 + 2x + -2x
48 + -14x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
48 + -14x + x2 = 0

Factor a trinomial.
(6 + -1x)(8 + -1x) = 0


Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {6, 8}

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