18c^2+12c-6=0

Solution for 18c^2+12c-6=0 equation:

Simplifying
18c2 + 12c + -6 = 0

Reorder the terms:
-6 + 12c + 18c2 = 0

Solving
-6 + 12c + 18c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-1 + 2c + 3c2) = 0

Factor a trinomial.
6((-1 + -1c)(1 + -3c)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(-1 + -1c)' equal to zero and attempt to solve:

Simplifying
-1 + -1c = 0

Solving
-1 + -1c = 0

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

Add '1' to each side of the equation.
-1 + 1 + -1c = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1c = 0 + 1
-1c = 0 + 1

Combine like terms: 0 + 1 = 1
-1c = 1

Divide each side by '-1'.
c = -1

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

Simplifying
1 + -3c = 0

Solving
1 + -3c = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3c = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3c = 0 + -1
-3c = 0 + -1

Combine like terms: 0 + -1 = -1
-3c = -1

Divide each side by '-3'.
c = 0.3333333333

Simplifying
c = 0.3333333333
Solution
c = {-1, 0.3333333333}