(x+8)(x-8)=12x

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Solution for (x+8)(x-8)=12x equation: 


Simplifying
(x + 8)(x + -8) = 12x

Reorder the terms:
(8 + x)(x + -8) = 12x

Reorder the terms:
(8 + x)(-8 + x) = 12x

Multiply (8 + x) * (-8 + x)
(8(-8 + x) + x(-8 + x)) = 12x
((-8 * 8 + x * 8) + x(-8 + x)) = 12x
((-64 + 8x) + x(-8 + x)) = 12x
(-64 + 8x + (-8 * x + x * x)) = 12x
(-64 + 8x + (-8x + x2)) = 12x

Combine like terms: 8x + -8x = 0
(-64 + 0 + x2) = 12x
(-64 + x2) = 12x

Solving
-64 + x2 = 12x

Solving for variable 'x'.

Reorder the terms:
-64 + -12x + x2 = 12x + -12x

Combine like terms: 12x + -12x = 0
-64 + -12x + x2 = 0

Factor a trinomial.
(-4 + -1x)(16 + -1x) = 0


Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

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 = {-4, 16}

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