3X^2+18X=-15

Solution for 3X^2+18X=-15 equation:

Simplifying
3X2 + 18X = -15

Reorder the terms:
18X + 3X2 = -15

Solving
18X + 3X2 = -15

Solving for variable 'X'.

Reorder the terms:
15 + 18X + 3X2 = -15 + 15

Combine like terms: -15 + 15 = 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}