0=-3x^2-30x-27

Solution for 0=-3x^2-30x-27 equation:

Simplifying
0 = -3x2 + -30x + -27

Reorder the terms:
0 = -27 + -30x + -3x2

Solving
0 = -27 + -30x + -3x2

Solving for variable 'x'.

Combine like terms: 0 + 27 = 27
27 + 30x + 3x2 = -27 + -30x + -3x2 + 27 + 30x + 3x2

Reorder the terms:
27 + 30x + 3x2 = -27 + 27 + -30x + 30x + -3x2 + 3x2

Combine like terms: -27 + 27 = 0
27 + 30x + 3x2 = 0 + -30x + 30x + -3x2 + 3x2
27 + 30x + 3x2 = -30x + 30x + -3x2 + 3x2

Combine like terms: -30x + 30x = 0
27 + 30x + 3x2 = 0 + -3x2 + 3x2
27 + 30x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
27 + 30x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(9 + 10x + x2) = 0

Factor a trinomial.
3((9 + x)(1 + x)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(9 + x)' equal to zero and attempt to solve:

Simplifying
9 + x = 0

Solving
9 + x = 0

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

Add '-9' to each side of the equation.
9 + -9 + x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + x = 0 + -9
x = 0 + -9

Combine like terms: 0 + -9 = -9
x = -9

Simplifying
x = -9
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 = {-9, -1}