2c^2=10c

Solution for 2c^2=10c equation:

Simplifying
2c2 = 10c

Solving
2c2 = 10c

Solving for variable 'c'.

Reorder the terms:
-10c + 2c2 = 10c + -10c

Combine like terms: 10c + -10c = 0
-10c + 2c2 = 0

Factor out the Greatest Common Factor (GCF), '2c'.
2c(-5 + c) = 0

Ignore the factor 2.
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 '(-5 + c)' equal to zero and attempt to solve:

Simplifying
-5 + c = 0

Solving
-5 + c = 0

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

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

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

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

Simplifying
c = 5
Solution
c = {0, 5}