=9x^2+23x-12

Solution for =9x^2+23x-12 equation:

Simplifying
0 = 9x2 + 23x + -12

Reorder the terms:
0 = -12 + 23x + 9x2

Solving
0 = -12 + 23x + 9x2

Solving for variable 'x'.

Combine like terms: 0 + 12 = 12
12 + -23x + -9x2 = -12 + 23x + 9x2 + 12 + -23x + -9x2

Reorder the terms:
12 + -23x + -9x2 = -12 + 12 + 23x + -23x + 9x2 + -9x2

Combine like terms: -12 + 12 = 0
12 + -23x + -9x2 = 0 + 23x + -23x + 9x2 + -9x2
12 + -23x + -9x2 = 23x + -23x + 9x2 + -9x2

Combine like terms: 23x + -23x = 0
12 + -23x + -9x2 = 0 + 9x2 + -9x2
12 + -23x + -9x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
12 + -23x + -9x2 = 0

Factor a trinomial.
(4 + -9x)(3 + x) = 0

Subproblem 1
Set the factor '(4 + -9x)' equal to zero and attempt to solve:

Simplifying
4 + -9x = 0

Solving
4 + -9x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -9x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -9x = 0 + -4
-9x = 0 + -4

Combine like terms: 0 + -4 = -4
-9x = -4

Divide each side by '-9'.
x = 0.4444444444

Simplifying
x = 0.4444444444
Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

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

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

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

Simplifying
x = -3
Solution
x = {0.4444444444, -3}