5c^2+25c+30=0

Solution for 5c^2+25c+30=0 equation:

Simplifying
5c2 + 25c + 30 = 0

Reorder the terms:
30 + 25c + 5c2 = 0

Solving
30 + 25c + 5c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '5'.
5(6 + 5c + c2) = 0

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

Ignore the factor 5.
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 '(2 + c)' equal to zero and attempt to solve:

Simplifying
2 + c = 0

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

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

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

Simplifying
c = -2
Solution
c = {-3, -2}