5*c^2+6*c=0

Solution for 5*c^2+6*c=0 equation:

Simplifying
5c2 + 6c = 0

Reorder the terms:
6c + 5c2 = 0

Solving
6c + 5c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), 'c'.
c(6 + 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 '(6 + 5c)' equal to zero and attempt to solve:

Simplifying
6 + 5c = 0

Solving
6 + 5c = 0

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

Add '-6' to each side of the equation.
6 + -6 + 5c = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5c = 0 + -6
5c = 0 + -6

Combine like terms: 0 + -6 = -6
5c = -6

Divide each side by '5'.
c = -1.2

Simplifying
c = -1.2
Solution
c = {0, -1.2}