5c(5c-6)=0

Solution for 5c(5c-6)=0 equation:

Simplifying
5c(5c + -6) = 0

Reorder the terms:
5c(-6 + 5c) = 0
(-6 * 5c + 5c * 5c) = 0
(-30c + 25c2) = 0

Solving
-30c + 25c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '5c'.
5c(-6 + 5c) = 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 '(-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}