105x^2+156x=-36

Solution for 105x^2+156x=-36 equation:

Simplifying
105x2 + 156x = -36

Reorder the terms:
156x + 105x2 = -36

Solving
156x + 105x2 = -36

Solving for variable 'x'.

Reorder the terms:
36 + 156x + 105x2 = -36 + 36

Combine like terms: -36 + 36 = 0
36 + 156x + 105x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(12 + 52x + 35x2) = 0

Factor a trinomial.
3((6 + 5x)(2 + 7x)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(6 + 5x)' equal to zero and attempt to solve:

Simplifying
6 + 5x = 0

Solving
6 + 5x = 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 + 5x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5x = 0 + -6
5x = 0 + -6

Combine like terms: 0 + -6 = -6
5x = -6

Divide each side by '5'.
x = -1.2

Simplifying
x = -1.2
Subproblem 2
Set the factor '(2 + 7x)' equal to zero and attempt to solve:

Simplifying
2 + 7x = 0

Solving
2 + 7x = 0

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

Add '-2' to each side of the equation.
2 + -2 + 7x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 7x = 0 + -2
7x = 0 + -2

Combine like terms: 0 + -2 = -2
7x = -2

Divide each side by '7'.
x = -0.2857142857

Simplifying
x = -0.2857142857
Solution
x = {-1.2, -0.2857142857}