9x^2+28x-156=0

Solution for 9x^2+28x-156=0 equation:

Simplifying
9x2 + 28x + -156 = 0

Reorder the terms:
-156 + 28x + 9x2 = 0

Solving
-156 + 28x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-6 + -1x)(26 + -9x) = 0

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

Simplifying
-6 + -1x = 0

Solving
-6 + -1x = 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 + -1x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 0 + 6
-1x = 0 + 6

Combine like terms: 0 + 6 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6
Subproblem 2
Set the factor '(26 + -9x)' equal to zero and attempt to solve:

Simplifying
26 + -9x = 0

Solving
26 + -9x = 0

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

Add '-26' to each side of the equation.
26 + -26 + -9x = 0 + -26

Combine like terms: 26 + -26 = 0
0 + -9x = 0 + -26
-9x = 0 + -26

Combine like terms: 0 + -26 = -26
-9x = -26

Divide each side by '-9'.
x = 2.888888889

Simplifying
x = 2.888888889
Solution
x = {-6, 2.888888889}