(2c)(3c)=6c

Solution for (2c)(3c)=6c equation:

Simplifying
(2c)(3c) = 6c

Remove parenthesis around (2c)
2c(3c) = 6c

Remove parenthesis around (3c)
2c * 3c = 6c

Reorder the terms for easier multiplication:
2 * 3c * c = 6c

Multiply 2 * 3
6c * c = 6c

Multiply c * c
6c2 = 6c

Solving
6c2 = 6c

Solving for variable 'c'.

Reorder the terms:
-6c + 6c2 = 6c + -6c

Combine like terms: 6c + -6c = 0
-6c + 6c2 = 0

Factor out the Greatest Common Factor (GCF), '6c'.
6c(-1 + c) = 0

Ignore the factor 6.
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 + c)' equal to zero and attempt to solve:

Simplifying
-1 + c = 0

Solving
-1 + c = 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 + c = 0 + 1

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

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

Simplifying
c = 1
Solution
c = {0, 1}