6c^2-11c-72=0

Solution for 6c^2-11c-72=0 equation:

Simplifying
6c2 + -11c + -72 = 0

Reorder the terms:
-72 + -11c + 6c2 = 0

Solving
-72 + -11c + 6c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-8 + -3c)(9 + -2c) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(9 + -2c)' equal to zero and attempt to solve:

Simplifying
9 + -2c = 0

Solving
9 + -2c = 0

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

Add '-9' to each side of the equation.
9 + -9 + -2c = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2c = 0 + -9
-2c = 0 + -9

Combine like terms: 0 + -9 = -9
-2c = -9

Divide each side by '-2'.
c = 4.5

Simplifying
c = 4.5
Solution
c = {-2.666666667, 4.5}