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

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


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

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

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

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

Combine like terms: 4x + -4x = 0
(-16 + 0 + x2) = 6x
(-16 + x2) = 6x

Solving
-16 + x2 = 6x

Solving for variable 'x'.

Reorder the terms:
-16 + -6x + x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
-16 + -6x + x2 = 0

Factor a trinomial.
(-2 + -1x)(8 + -1x) = 0


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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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 = {-2, 8}

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