9c^2-12c-32=0

Solution for 9c^2-12c-32=0 equation:

Simplifying
9c2 + -12c + -32 = 0

Reorder the terms:
-32 + -12c + 9c2 = 0

Solving
-32 + -12c + 9c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-4 + -3c)(8 + -3c) = 0

Subproblem 1
Set the factor '(-4 + -3c)' equal to zero and attempt to solve:

Simplifying
-4 + -3c = 0

Solving
-4 + -3c = 0

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

Add '4' to each side of the equation.
-4 + 4 + -3c = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3c = 0 + 4
-3c = 0 + 4

Combine like terms: 0 + 4 = 4
-3c = 4

Divide each side by '-3'.
c = -1.333333333

Simplifying
c = -1.333333333
Subproblem 2
Set the factor '(8 + -3c)' equal to zero and attempt to solve:

Simplifying
8 + -3c = 0

Solving
8 + -3c = 0

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

Add '-8' to each side of the equation.
8 + -8 + -3c = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3c = 0 + -8
-3c = 0 + -8

Combine like terms: 0 + -8 = -8
-3c = -8

Divide each side by '-3'.
c = 2.666666667

Simplifying
c = 2.666666667
Solution
c = {-1.333333333, 2.666666667}