x^2+4x-12=6x-4

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Solution for x^2+4x-12=6x-4 equation: 


Simplifying
x2 + 4x + -12 = 6x + -4

Reorder the terms:
-12 + 4x + x2 = 6x + -4

Reorder the terms:
-12 + 4x + x2 = -4 + 6x

Solving
-12 + 4x + x2 = -4 + 6x

Solving for variable 'x'.

Reorder the terms:
-12 + 4 + 4x + -6x + x2 = -4 + 6x + 4 + -6x

Combine like terms: -12 + 4 = -8
-8 + 4x + -6x + x2 = -4 + 6x + 4 + -6x

Combine like terms: 4x + -6x = -2x
-8 + -2x + x2 = -4 + 6x + 4 + -6x

Reorder the terms:
-8 + -2x + x2 = -4 + 4 + 6x + -6x

Combine like terms: -4 + 4 = 0
-8 + -2x + x2 = 0 + 6x + -6x
-8 + -2x + x2 = 6x + -6x

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

Factor a trinomial.
(-2 + -1x)(4 + -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 '(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
Solution
x = {-2, 4}

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