5c^2+3c=0

Solution for 5c^2+3c=0 equation:

Simplifying
5c2 + 3c = 0

Reorder the terms:
3c + 5c2 = 0

Solving
3c + 5c2 = 0

Solving for variable 'c'.

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

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 + 5c)' equal to zero and attempt to solve:

Simplifying
3 + 5c = 0

Solving
3 + 5c = 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 + 5c = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5c = 0 + -3
5c = 0 + -3

Combine like terms: 0 + -3 = -3
5c = -3

Divide each side by '5'.
c = -0.6

Simplifying
c = -0.6
Solution
c = {0, -0.6}