0=6c^2+5c-6

Solution for 0=6c^2+5c-6 equation:

Simplifying
0 = 6c2 + 5c + -6

Reorder the terms:
0 = -6 + 5c + 6c2

Solving
0 = -6 + 5c + 6c2

Solving for variable 'c'.

Combine like terms: 0 + 6 = 6
6 + -5c + -6c2 = -6 + 5c + 6c2 + 6 + -5c + -6c2

Reorder the terms:
6 + -5c + -6c2 = -6 + 6 + 5c + -5c + 6c2 + -6c2

Combine like terms: -6 + 6 = 0
6 + -5c + -6c2 = 0 + 5c + -5c + 6c2 + -6c2
6 + -5c + -6c2 = 5c + -5c + 6c2 + -6c2

Combine like terms: 5c + -5c = 0
6 + -5c + -6c2 = 0 + 6c2 + -6c2
6 + -5c + -6c2 = 6c2 + -6c2

Combine like terms: 6c2 + -6c2 = 0
6 + -5c + -6c2 = 0

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

Subproblem 1
Set the factor '(2 + -3c)' equal to zero and attempt to solve:

Simplifying
2 + -3c = 0

Solving
2 + -3c = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3c = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3c = 0 + -2
-3c = 0 + -2

Combine like terms: 0 + -2 = -2
-3c = -2

Divide each side by '-3'.
c = 0.6666666667

Simplifying
c = 0.6666666667
Subproblem 2
Set the factor '(3 + 2c)' equal to zero and attempt to solve:

Simplifying
3 + 2c = 0

Solving
3 + 2c = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2c = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2c = 0 + -3
2c = 0 + -3

Combine like terms: 0 + -3 = -3
2c = -3

Divide each side by '2'.
c = -1.5

Simplifying
c = -1.5
Solution
c = {0.6666666667, -1.5}