11c=-72+6c^2

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

Simplifying
11c = -72 + 6c2

Solving
11c = -72 + 6c2

Solving for variable 'c'.

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

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

Combine like terms: -72 + 72 = 0
72 + 11c + -6c2 = 0 + 6c2 + -6c2
72 + 11c + -6c2 = 6c2 + -6c2

Combine like terms: 6c2 + -6c2 = 0
72 + 11c + -6c2 = 0

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

Subproblem 1
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
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 = {4.5, -2.666666667}