0=3x^2+18x+15

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Solution for 0=3x^2+18x+15 equation: 


Simplifying
0 = 3x2 + 18x + 15

Reorder the terms:
0 = 15 + 18x + 3x2

Solving
0 = 15 + 18x + 3x2

Solving for variable 'x'.

Combine like terms: 0 + -15 = -15
-15 + -18x + -3x2 = 15 + 18x + 3x2 + -15 + -18x + -3x2

Reorder the terms:
-15 + -18x + -3x2 = 15 + -15 + 18x + -18x + 3x2 + -3x2

Combine like terms: 15 + -15 = 0
-15 + -18x + -3x2 = 0 + 18x + -18x + 3x2 + -3x2
-15 + -18x + -3x2 = 18x + -18x + 3x2 + -3x2

Combine like terms: 18x + -18x = 0
-15 + -18x + -3x2 = 0 + 3x2 + -3x2
-15 + -18x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-15 + -18x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '-3'.
-3(5 + 6x + x2) = 0

Factor a trinomial.
-3((5 + x)(1 + x)) = 0

Ignore the factor -3.

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

Simplifying
5 + x = 0

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

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

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

Simplifying
x = -5

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

Simplifying
1 + x = 0

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

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

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

Simplifying
x = -1
Solution
x = {-5, -1}

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