6c^2+13c+6=0

Solution for 6c^2+13c+6=0 equation:

Simplifying
6c2 + 13c + 6 = 0

Reorder the terms:
6 + 13c + 6c2 = 0

Solving
6 + 13c + 6c2 = 0

Solving for variable 'c'.

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

Subproblem 1
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
Subproblem 2
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
Solution
c = {-1.5, -0.6666666667}