12x^2+30x=-5-2x

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Solution for 12x^2+30x=-5-2x equation: 


Simplifying
12x2 + 30x = -5 + -2x

Reorder the terms:
30x + 12x2 = -5 + -2x

Solving
30x + 12x2 = -5 + -2x

Solving for variable 'x'.

Reorder the terms:
5 + 30x + 2x + 12x2 = -5 + -2x + 5 + 2x

Combine like terms: 30x + 2x = 32x
5 + 32x + 12x2 = -5 + -2x + 5 + 2x

Reorder the terms:
5 + 32x + 12x2 = -5 + 5 + -2x + 2x

Combine like terms: -5 + 5 = 0
5 + 32x + 12x2 = 0 + -2x + 2x
5 + 32x + 12x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
5 + 32x + 12x2 = 0

Factor a trinomial.
(5 + 2x)(1 + 6x) = 0


Subproblem 1
Set the factor '(5 + 2x)' equal to zero and attempt to solve:

Simplifying
5 + 2x = 0

Solving
5 + 2x = 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 + 2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 0 + -5
2x = 0 + -5

Combine like terms: 0 + -5 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5

Subproblem 2
Set the factor '(1 + 6x)' equal to zero and attempt to solve:

Simplifying
1 + 6x = 0

Solving
1 + 6x = 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 + 6x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 6x = 0 + -1
6x = 0 + -1

Combine like terms: 0 + -1 = -1
6x = -1

Divide each side by '6'.
x = -0.1666666667

Simplifying
x = -0.1666666667
Solution
x = {-2.5, -0.1666666667}

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