3c^2+14c+8=0

Solution for 3c^2+14c+8=0 equation:

Simplifying
3c2 + 14c + 8 = 0

Reorder the terms:
8 + 14c + 3c2 = 0

Solving
8 + 14c + 3c2 = 0

Solving for variable 'c'.

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

Subproblem 1
Set the factor '(4 + c)' equal to zero and attempt to solve:

Simplifying
4 + c = 0

Solving
4 + c = 0

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

Add '-4' to each side of the equation.
4 + -4 + c = 0 + -4

Combine like terms: 4 + -4 = 0
0 + c = 0 + -4
c = 0 + -4

Combine like terms: 0 + -4 = -4
c = -4

Simplifying
c = -4
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, -0.6666666667}