c^2-10c=0

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

Simplifying
c2 + -10c = 0

Reorder the terms:
-10c + c2 = 0

Solving
-10c + c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), 'c'.
c(-10 + c) = 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 '(-10 + c)' equal to zero and attempt to solve:

Simplifying
-10 + c = 0

Solving
-10 + c = 0

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

Add '10' to each side of the equation.
-10 + 10 + c = 0 + 10

Combine like terms: -10 + 10 = 0
0 + c = 0 + 10
c = 0 + 10

Combine like terms: 0 + 10 = 10
c = 10

Simplifying
c = 10
Solution
c = {0, 10}