0=3x^2+36x-39

Solution for 0=3x^2+36x-39 equation:

Simplifying
0 = 3x2 + 36x + -39

Reorder the terms:
0 = -39 + 36x + 3x2

Solving
0 = -39 + 36x + 3x2

Solving for variable 'x'.

Combine like terms: 0 + 39 = 39
39 + -36x + -3x2 = -39 + 36x + 3x2 + 39 + -36x + -3x2

Reorder the terms:
39 + -36x + -3x2 = -39 + 39 + 36x + -36x + 3x2 + -3x2

Combine like terms: -39 + 39 = 0
39 + -36x + -3x2 = 0 + 36x + -36x + 3x2 + -3x2
39 + -36x + -3x2 = 36x + -36x + 3x2 + -3x2

Combine like terms: 36x + -36x = 0
39 + -36x + -3x2 = 0 + 3x2 + -3x2
39 + -36x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
39 + -36x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(13 + -12x + -1x2) = 0

Factor a trinomial.
3((1 + -1x)(13 + x)) = 0

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

Simplifying
1 + -1x = 0

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

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

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

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Subproblem 2
Set the factor '(13 + x)' equal to zero and attempt to solve:

Simplifying
13 + x = 0

Solving
13 + x = 0

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

Add '-13' to each side of the equation.
13 + -13 + x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + x = 0 + -13
x = 0 + -13

Combine like terms: 0 + -13 = -13
x = -13

Simplifying
x = -13
Solution
x = {1, -13}