4c^2+16c=-15

Solution for 4c^2+16c=-15 equation:

Simplifying
4c2 + 16c = -15

Reorder the terms:
16c + 4c2 = -15

Solving
16c + 4c2 = -15

Solving for variable 'c'.

Reorder the terms:
15 + 16c + 4c2 = -15 + 15

Combine like terms: -15 + 15 = 0
15 + 16c + 4c2 = 0

Factor a trinomial.
(5 + 2c)(3 + 2c) = 0

Subproblem 1
Set the factor '(5 + 2c)' equal to zero and attempt to solve:

Simplifying
5 + 2c = 0

Solving
5 + 2c = 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 + 2c = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2c = 0 + -5
2c = 0 + -5

Combine like terms: 0 + -5 = -5
2c = -5

Divide each side by '2'.
c = -2.5

Simplifying
c = -2.5
Subproblem 2
Set the factor '(3 + 2c)' equal to zero and attempt to solve:

Simplifying
3 + 2c = 0

Solving
3 + 2c = 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 + 2c = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2c = 0 + -3
2c = 0 + -3

Combine like terms: 0 + -3 = -3
2c = -3

Divide each side by '2'.
c = -1.5

Simplifying
c = -1.5
Solution
c = {-2.5, -1.5}