15x^2+30x=-4x-15

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Solution for 15x^2+30x=-4x-15 equation: 


Simplifying
15x2 + 30x = -4x + -15

Reorder the terms:
30x + 15x2 = -4x + -15

Reorder the terms:
30x + 15x2 = -15 + -4x

Solving
30x + 15x2 = -15 + -4x

Solving for variable 'x'.

Reorder the terms:
15 + 30x + 4x + 15x2 = -15 + -4x + 15 + 4x

Combine like terms: 30x + 4x = 34x
15 + 34x + 15x2 = -15 + -4x + 15 + 4x

Reorder the terms:
15 + 34x + 15x2 = -15 + 15 + -4x + 4x

Combine like terms: -15 + 15 = 0
15 + 34x + 15x2 = 0 + -4x + 4x
15 + 34x + 15x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
15 + 34x + 15x2 = 0

Factor a trinomial.
(5 + 3x)(3 + 5x) = 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 '(3 + 5x)' equal to zero and attempt to solve:

Simplifying
3 + 5x = 0

Solving
3 + 5x = 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 + 5x = 0 + -3

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

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

Divide each side by '5'.
x = -0.6

Simplifying
x = -0.6
Solution
x = {-1.666666667, -0.6}

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