6c^2+15c^3=

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

Simplifying
6c2 + 15c3 = 0

Solving
6c2 + 15c3 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '3c2'.
3c2(2 + 5c) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 'c2' equal to zero and attempt to solve:

Simplifying
c2 = 0

Solving
c2 = 0

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

Simplifying
c2 = 0

Take the square root of each side:
c = {0}
Subproblem 2
Set the factor '(2 + 5c)' equal to zero and attempt to solve:

Simplifying
2 + 5c = 0

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

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

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

Divide each side by '5'.
c = -0.4

Simplifying
c = -0.4
Solution
c = {0, -0.4}