10c^2+15c=0

Solution for 10c^2+15c=0 equation:

Simplifying
10c2 + 15c = 0

Reorder the terms:
15c + 10c2 = 0

Solving
15c + 10c2 = 0

Solving for variable 'c'.

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

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

Simplifying
c = 0

Solving
c = 0

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

Simplifying
c = 0
Subproblem 2
Set the factor '(3 + 2c)' equal to zero and attempt to solve:

Simplifying
3 + 2c = 0

Solving
3 + 2c = 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 + 2c = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2c = 0 + -3
2c = 0 + -3

Combine like terms: 0 + -3 = -3
2c = -3

Divide each side by '2'.
c = -1.5

Simplifying
c = -1.5
Solution
c = {0, -1.5}