(x-8)(x+6)-6x=0

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Solution for (x-8)(x+6)-6x=0 equation: 


Simplifying
(x + -8)(x + 6) + -6x = 0

Reorder the terms:
(-8 + x)(x + 6) + -6x = 0

Reorder the terms:
(-8 + x)(6 + x) + -6x = 0

Multiply (-8 + x) * (6 + x)
(-8(6 + x) + x(6 + x)) + -6x = 0
((6 * -8 + x * -8) + x(6 + x)) + -6x = 0
((-48 + -8x) + x(6 + x)) + -6x = 0
(-48 + -8x + (6 * x + x * x)) + -6x = 0
(-48 + -8x + (6x + x2)) + -6x = 0

Combine like terms: -8x + 6x = -2x
(-48 + -2x + x2) + -6x = 0

Reorder the terms:
-48 + -2x + -6x + x2 = 0

Combine like terms: -2x + -6x = -8x
-48 + -8x + x2 = 0

Solving
-48 + -8x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-4 + -1x)(12 + -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 '(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 = {-4, 12}

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