0=-3x^2-21x-18

Solution for 0=-3x^2-21x-18 equation:

Simplifying
0 = -3x2 + -21x + -18

Reorder the terms:
0 = -18 + -21x + -3x2

Solving
0 = -18 + -21x + -3x2

Solving for variable 'x'.

Combine like terms: 0 + 18 = 18
18 + 21x + 3x2 = -18 + -21x + -3x2 + 18 + 21x + 3x2

Reorder the terms:
18 + 21x + 3x2 = -18 + 18 + -21x + 21x + -3x2 + 3x2

Combine like terms: -18 + 18 = 0
18 + 21x + 3x2 = 0 + -21x + 21x + -3x2 + 3x2
18 + 21x + 3x2 = -21x + 21x + -3x2 + 3x2

Combine like terms: -21x + 21x = 0
18 + 21x + 3x2 = 0 + -3x2 + 3x2
18 + 21x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
18 + 21x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(6 + 7x + x2) = 0

Factor a trinomial.
3((6 + x)(1 + x)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

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

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
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 = {-6, -1}