10c^3+25c^2=

Solution for 10c^3+25c^2= equation:

Simplifying
10c3 + 25c2 = 0

Reorder the terms:
25c2 + 10c3 = 0

Solving
25c2 + 10c3 = 0

Solving for variable 'c'.

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

Ignore the factor 5.
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 '(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
Solution
c = {0, -2.5}