(x-8)(x-8)=(x+4)

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Solution for (x-8)(x-8)=(x+4) equation: 


Simplifying
(x + -8)(x + -8) = (x + 4)

Reorder the terms:
(-8 + x)(x + -8) = (x + 4)

Reorder the terms:
(-8 + x)(-8 + x) = (x + 4)

Multiply (-8 + x) * (-8 + x)
(-8(-8 + x) + x(-8 + x)) = (x + 4)
((-8 * -8 + x * -8) + x(-8 + x)) = (x + 4)
((64 + -8x) + x(-8 + x)) = (x + 4)
(64 + -8x + (-8 * x + x * x)) = (x + 4)
(64 + -8x + (-8x + x2)) = (x + 4)

Combine like terms: -8x + -8x = -16x
(64 + -16x + x2) = (x + 4)

Reorder the terms:
64 + -16x + x2 = (4 + x)

Remove parenthesis around (4 + x)
64 + -16x + x2 = 4 + x

Solving
64 + -16x + x2 = 4 + x

Solving for variable 'x'.

Reorder the terms:
64 + -4 + -16x + -1x + x2 = 4 + x + -4 + -1x

Combine like terms: 64 + -4 = 60
60 + -16x + -1x + x2 = 4 + x + -4 + -1x

Combine like terms: -16x + -1x = -17x
60 + -17x + x2 = 4 + x + -4 + -1x

Reorder the terms:
60 + -17x + x2 = 4 + -4 + x + -1x

Combine like terms: 4 + -4 = 0
60 + -17x + x2 = 0 + x + -1x
60 + -17x + x2 = x + -1x

Combine like terms: x + -1x = 0
60 + -17x + x2 = 0

Factor a trinomial.
(5 + -1x)(12 + -1x) = 0


Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12

Combine like terms: 0 + -12 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12
Solution
x = {5, 12}

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