3x^2-14x-12=-6x-9

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Solution for 3x^2-14x-12=-6x-9 equation: 


Simplifying
3x2 + -14x + -12 = -6x + -9

Reorder the terms:
-12 + -14x + 3x2 = -6x + -9

Reorder the terms:
-12 + -14x + 3x2 = -9 + -6x

Solving
-12 + -14x + 3x2 = -9 + -6x

Solving for variable 'x'.

Reorder the terms:
-12 + 9 + -14x + 6x + 3x2 = -9 + -6x + 9 + 6x

Combine like terms: -12 + 9 = -3
-3 + -14x + 6x + 3x2 = -9 + -6x + 9 + 6x

Combine like terms: -14x + 6x = -8x
-3 + -8x + 3x2 = -9 + -6x + 9 + 6x

Reorder the terms:
-3 + -8x + 3x2 = -9 + 9 + -6x + 6x

Combine like terms: -9 + 9 = 0
-3 + -8x + 3x2 = 0 + -6x + 6x
-3 + -8x + 3x2 = -6x + 6x

Combine like terms: -6x + 6x = 0
-3 + -8x + 3x2 = 0

Factor a trinomial.
(-1 + -3x)(3 + -1x) = 0


Subproblem 1
Set the factor '(-1 + -3x)' equal to zero and attempt to solve:

Simplifying
-1 + -3x = 0

Solving
-1 + -3x = 0

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

Add '1' to each side of the equation.
-1 + 1 + -3x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3x = 0 + 1
-3x = 0 + 1

Combine like terms: 0 + 1 = 1
-3x = 1

Divide each side by '-3'.
x = -0.3333333333

Simplifying
x = -0.3333333333

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-0.3333333333, 3}

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