-10c^3-5c^2=0

Solution for -10c^3-5c^2=0 equation:

Simplifying
-10c3 + -5c2 = 0

Reorder the terms:
-5c2 + -10c3 = 0

Solving
-5c2 + -10c3 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '-5c2'.
-5c2(1 + 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 '(1 + 2c)' equal to zero and attempt to solve:

Simplifying
1 + 2c = 0

Solving
1 + 2c = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2c = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2c = 0 + -1
2c = 0 + -1

Combine like terms: 0 + -1 = -1
2c = -1

Divide each side by '2'.
c = -0.5

Simplifying
c = -0.5
Solution
c = {0, -0.5}