2c^2=12c

Solution for 2c^2=12c equation:

Simplifying
2c2 = 12c

Solving
2c2 = 12c

Solving for variable 'c'.

Reorder the terms:
-12c + 2c2 = 12c + -12c

Combine like terms: 12c + -12c = 0
-12c + 2c2 = 0

Factor out the Greatest Common Factor (GCF), '2c'.
2c(-6 + 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 '(-6 + c)' equal to zero and attempt to solve:

Simplifying
-6 + c = 0

Solving
-6 + c = 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 + c = 0 + 6

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

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

Simplifying
c = 6
Solution
c = {0, 6}