3x^2+12x-15=-15

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Solution for 3x^2+12x-15=-15 equation: 


Simplifying
3x2 + 12x + -15 = -15

Reorder the terms:
-15 + 12x + 3x2 = -15

Add '15' to each side of the equation.
-15 + 12x + 15 + 3x2 = -15 + 15

Reorder the terms:
-15 + 15 + 12x + 3x2 = -15 + 15

Combine like terms: -15 + 15 = 0
0 + 12x + 3x2 = -15 + 15
12x + 3x2 = -15 + 15

Combine like terms: -15 + 15 = 0
12x + 3x2 = 0

Solving
12x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(4 + x) = 0

Ignore the factor 3.

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 '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

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

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

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

Simplifying
x = -4
Solution
x = {0, -4}

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