(x-12)(x-12)=16

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Solution for (x-12)(x-12)=16 equation: 


Simplifying
(x + -12)(x + -12) = 16

Reorder the terms:
(-12 + x)(x + -12) = 16

Reorder the terms:
(-12 + x)(-12 + x) = 16

Multiply (-12 + x) * (-12 + x)
(-12(-12 + x) + x(-12 + x)) = 16
((-12 * -12 + x * -12) + x(-12 + x)) = 16
((144 + -12x) + x(-12 + x)) = 16
(144 + -12x + (-12 * x + x * x)) = 16
(144 + -12x + (-12x + x2)) = 16

Combine like terms: -12x + -12x = -24x
(144 + -24x + x2) = 16

Solving
144 + -24x + x2 = 16

Solving for variable 'x'.

Reorder the terms:
144 + -16 + -24x + x2 = 16 + -16

Combine like terms: 144 + -16 = 128
128 + -24x + x2 = 16 + -16

Combine like terms: 16 + -16 = 0
128 + -24x + x2 = 0

Factor a trinomial.
(8 + -1x)(16 + -1x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(16 + -1x)' equal to zero and attempt to solve:

Simplifying
16 + -1x = 0

Solving
16 + -1x = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 0 + -16
-1x = 0 + -16

Combine like terms: 0 + -16 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16
Solution
x = {8, 16}

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