3c^2+6c+15c+30=

Solution for 3c^2+6c+15c+30= equation:

Simplifying
3c2 + 6c + 15c + 30 = 0

Reorder the terms:
30 + 6c + 15c + 3c2 = 0

Combine like terms: 6c + 15c = 21c
30 + 21c + 3c2 = 0

Solving
30 + 21c + 3c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '3'.
3(10 + 7c + c2) = 0

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

Ignore the factor 3.
Subproblem 1
Set the factor '(5 + c)' equal to zero and attempt to solve:

Simplifying
5 + c = 0

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

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

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

Simplifying
c = -5
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 = {-5, -2}