6x^2+3x-12=2-2x

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Solution for 6x^2+3x-12=2-2x equation: 


Simplifying
6x2 + 3x + -12 = 2 + -2x

Reorder the terms:
-12 + 3x + 6x2 = 2 + -2x

Solving
-12 + 3x + 6x2 = 2 + -2x

Solving for variable 'x'.

Reorder the terms:
-12 + -2 + 3x + 2x + 6x2 = 2 + -2x + -2 + 2x

Combine like terms: -12 + -2 = -14
-14 + 3x + 2x + 6x2 = 2 + -2x + -2 + 2x

Combine like terms: 3x + 2x = 5x
-14 + 5x + 6x2 = 2 + -2x + -2 + 2x

Reorder the terms:
-14 + 5x + 6x2 = 2 + -2 + -2x + 2x

Combine like terms: 2 + -2 = 0
-14 + 5x + 6x2 = 0 + -2x + 2x
-14 + 5x + 6x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
-14 + 5x + 6x2 = 0

Factor a trinomial.
(-2 + -1x)(7 + -6x) = 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 '(7 + -6x)' equal to zero and attempt to solve:

Simplifying
7 + -6x = 0

Solving
7 + -6x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -6x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -6x = 0 + -7
-6x = 0 + -7

Combine like terms: 0 + -7 = -7
-6x = -7

Divide each side by '-6'.
x = 1.166666667

Simplifying
x = 1.166666667
Solution
x = {-2, 1.166666667}

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