24c^2+96c+90=0

Solution for 24c^2+96c+90=0 equation:

Simplifying
24c2 + 96c + 90 = 0

Reorder the terms:
90 + 96c + 24c2 = 0

Solving
90 + 96c + 24c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '6'.
6(15 + 16c + 4c2) = 0

Factor a trinomial.
6((5 + 2c)(3 + 2c)) = 0

Ignore the factor 6.
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}