9x^2-23x-32=0

Solution for 9x^2-23x-32=0 equation:

Simplifying
9x2 + -23x + -32 = 0

Reorder the terms:
-32 + -23x + 9x2 = 0

Solving
-32 + -23x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -1x)(32 + -9x) = 0

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 '(32 + -9x)' equal to zero and attempt to solve:

Simplifying
32 + -9x = 0

Solving
32 + -9x = 0

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

Add '-32' to each side of the equation.
32 + -32 + -9x = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -9x = 0 + -32
-9x = 0 + -32

Combine like terms: 0 + -32 = -32
-9x = -32

Divide each side by '-9'.
x = 3.555555556

Simplifying
x = 3.555555556
Solution
x = {-1, 3.555555556}