9x^2+11x-114=0

Solution for 9x^2+11x-114=0 equation:

Simplifying
9x2 + 11x + -114 = 0

Reorder the terms:
-114 + 11x + 9x2 = 0

Solving
-114 + 11x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-38 + -9x)(3 + -1x) = 0

Subproblem 1
Set the factor '(-38 + -9x)' equal to zero and attempt to solve:

Simplifying
-38 + -9x = 0

Solving
-38 + -9x = 0

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

Add '38' to each side of the equation.
-38 + 38 + -9x = 0 + 38

Combine like terms: -38 + 38 = 0
0 + -9x = 0 + 38
-9x = 0 + 38

Combine like terms: 0 + 38 = 38
-9x = 38

Divide each side by '-9'.
x = -4.222222222

Simplifying
x = -4.222222222
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

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

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-4.222222222, 3}