12x^2+26x=-12x

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Solution for 12x^2+26x=-12x equation: 


Simplifying
12x2 + 26x = -12x

Reorder the terms:
26x + 12x2 = -12x

Solving
26x + 12x2 = -12x

Solving for variable 'x'.

Reorder the terms:
26x + 12x + 12x2 = -12x + 12x

Combine like terms: 26x + 12x = 38x
38x + 12x2 = -12x + 12x

Combine like terms: -12x + 12x = 0
38x + 12x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(19 + 6x) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(19 + 6x)' equal to zero and attempt to solve:

Simplifying
19 + 6x = 0

Solving
19 + 6x = 0

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

Add '-19' to each side of the equation.
19 + -19 + 6x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + 6x = 0 + -19
6x = 0 + -19

Combine like terms: 0 + -19 = -19
6x = -19

Divide each side by '6'.
x = -3.166666667

Simplifying
x = -3.166666667
Solution
x = {0, -3.166666667}

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