10c^2=c

Solution for 10c^2=c equation:

Simplifying
10c2 = c

Solving
10c2 = c

Solving for variable 'c'.

Reorder the terms:
-1c + 10c2 = c + -1c

Combine like terms: c + -1c = 0
-1c + 10c2 = 0

Factor out the Greatest Common Factor (GCF), 'c'.
c(-1 + 10c) = 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 '(-1 + 10c)' equal to zero and attempt to solve:

Simplifying
-1 + 10c = 0

Solving
-1 + 10c = 0

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

Add '1' to each side of the equation.
-1 + 1 + 10c = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 10c = 0 + 1
10c = 0 + 1

Combine like terms: 0 + 1 = 1
10c = 1

Divide each side by '10'.
c = 0.1

Simplifying
c = 0.1
Solution
c = {0, 0.1}