6c^2+23c-18=0

Solution for 6c^2+23c-18=0 equation:

Simplifying
6c2 + 23c + -18 = 0

Reorder the terms:
-18 + 23c + 6c2 = 0

Solving
-18 + 23c + 6c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-9 + -2c)(2 + -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 '(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 = {-4.5, 0.6666666667}