12c^2-28c-24=

Solution for 12c^2-28c-24= equation:

Simplifying
12c2 + -28c + -24 = 0

Reorder the terms:
-24 + -28c + 12c2 = 0

Solving
-24 + -28c + 12c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-6 + -7c + 3c2) = 0

Factor a trinomial.
4((-2 + -3c)(3 + -1c)) = 0

Ignore the factor 4.
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 + -1c)' equal to zero and attempt to solve:

Simplifying
3 + -1c = 0

Solving
3 + -1c = 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 + -1c = 0 + -3

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

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

Divide each side by '-1'.
c = 3

Simplifying
c = 3
Solution
c = {-0.6666666667, 3}