12x^2+37x+25=2x

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Solution for 12x^2+37x+25=2x equation: 


Simplifying
12x2 + 37x + 25 = 2x

Reorder the terms:
25 + 37x + 12x2 = 2x

Solving
25 + 37x + 12x2 = 2x

Solving for variable 'x'.

Reorder the terms:
25 + 37x + -2x + 12x2 = 2x + -2x

Combine like terms: 37x + -2x = 35x
25 + 35x + 12x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
25 + 35x + 12x2 = 0

Factor a trinomial.
(5 + 3x)(5 + 4x) = 0


Subproblem 1
Set the factor '(5 + 3x)' equal to zero and attempt to solve:

Simplifying
5 + 3x = 0

Solving
5 + 3x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = 0 + -5
3x = 0 + -5

Combine like terms: 0 + -5 = -5
3x = -5

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667

Subproblem 2
Set the factor '(5 + 4x)' equal to zero and attempt to solve:

Simplifying
5 + 4x = 0

Solving
5 + 4x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4x = 0 + -5
4x = 0 + -5

Combine like terms: 0 + -5 = -5
4x = -5

Divide each side by '4'.
x = -1.25

Simplifying
x = -1.25
Solution
x = {-1.666666667, -1.25}

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