0=-36x^2-30x-6

Solution for 0=-36x^2-30x-6 equation:

Simplifying
0 = -36x2 + -30x + -6

Reorder the terms:
0 = -6 + -30x + -36x2

Solving
0 = -6 + -30x + -36x2

Solving for variable 'x'.

Combine like terms: 0 + 6 = 6
6 + 30x + 36x2 = -6 + -30x + -36x2 + 6 + 30x + 36x2

Reorder the terms:
6 + 30x + 36x2 = -6 + 6 + -30x + 30x + -36x2 + 36x2

Combine like terms: -6 + 6 = 0
6 + 30x + 36x2 = 0 + -30x + 30x + -36x2 + 36x2
6 + 30x + 36x2 = -30x + 30x + -36x2 + 36x2

Combine like terms: -30x + 30x = 0
6 + 30x + 36x2 = 0 + -36x2 + 36x2
6 + 30x + 36x2 = -36x2 + 36x2

Combine like terms: -36x2 + 36x2 = 0
6 + 30x + 36x2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(1 + 5x + 6x2) = 0

Factor a trinomial.
6((1 + 2x)(1 + 3x)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(1 + 2x)' equal to zero and attempt to solve:

Simplifying
1 + 2x = 0

Solving
1 + 2x = 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 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Subproblem 2
Set the factor '(1 + 3x)' equal to zero and attempt to solve:

Simplifying
1 + 3x = 0

Solving
1 + 3x = 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 + 3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = 0 + -1
3x = 0 + -1

Combine like terms: 0 + -1 = -1
3x = -1

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333
Solution
x = {-0.5, -0.3333333333}