3x^2=-18x-27

Solution for 3x^2=-18x-27 equation:

Simplifying
3x2 = -18x + -27

Reorder the terms:
3x2 = -27 + -18x

Solving
3x2 = -27 + -18x

Solving for variable 'x'.

Reorder the terms:
27 + 18x + 3x2 = -27 + -18x + 27 + 18x

Reorder the terms:
27 + 18x + 3x2 = -27 + 27 + -18x + 18x

Combine like terms: -27 + 27 = 0
27 + 18x + 3x2 = 0 + -18x + 18x
27 + 18x + 3x2 = -18x + 18x

Combine like terms: -18x + 18x = 0
27 + 18x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(9 + 6x + x2) = 0

Factor a trinomial.
3((3 + x)(3 + x)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

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

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

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

Simplifying
x = -3
Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

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

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

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

Simplifying
x = -3
Solution
x = {-3, -3}