12c^2+14c+4=0

Solution for 12c^2+14c+4=0 equation:

Simplifying
12c2 + 14c + 4 = 0

Reorder the terms:
4 + 14c + 12c2 = 0

Solving
4 + 14c + 12c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + 7c + 6c2) = 0

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

Ignore the factor 2.
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 '(1 + 2c)' equal to zero and attempt to solve:

Simplifying
1 + 2c = 0

Solving
1 + 2c = 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 + 2c = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2c = 0 + -1
2c = 0 + -1

Combine like terms: 0 + -1 = -1
2c = -1

Divide each side by '2'.
c = -0.5

Simplifying
c = -0.5
Solution
c = {-0.6666666667, -0.5}