0=3x^2+18x+27

Solution for 0=3x^2+18x+27 equation:

Simplifying
0 = 3x2 + 18x + 27

Reorder the terms:
0 = 27 + 18x + 3x2

Solving
0 = 27 + 18x + 3x2

Solving for variable 'x'.

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

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

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

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

Combine like terms: 3x2 + -3x2 = 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}