14c+15+3c^2=0

Solution for 14c+15+3c^2=0 equation:

Simplifying
14c + 15 + 3c2 = 0

Reorder the terms:
15 + 14c + 3c2 = 0

Solving
15 + 14c + 3c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(3 + c)(5 + 3c) = 0

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

Simplifying
3 + c = 0

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

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

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

Simplifying
c = -3
Subproblem 2
Set the factor '(5 + 3c)' equal to zero and attempt to solve:

Simplifying
5 + 3c = 0

Solving
5 + 3c = 0

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

Add '-5' to each side of the equation.
5 + -5 + 3c = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3c = 0 + -5
3c = 0 + -5

Combine like terms: 0 + -5 = -5
3c = -5

Divide each side by '3'.
c = -1.666666667

Simplifying
c = -1.666666667
Solution
c = {-3, -1.666666667}