4c^2-6c=0

Solution for 4c^2-6c=0 equation:

Simplifying
4c2 + -6c = 0

Reorder the terms:
-6c + 4c2 = 0

Solving
-6c + 4c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '2c'.
2c(-3 + 2c) = 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 '(-3 + 2c)' equal to zero and attempt to solve:

Simplifying
-3 + 2c = 0

Solving
-3 + 2c = 0

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

Add '3' to each side of the equation.
-3 + 3 + 2c = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2c = 0 + 3
2c = 0 + 3

Combine like terms: 0 + 3 = 3
2c = 3

Divide each side by '2'.
c = 1.5

Simplifying
c = 1.5
Solution
c = {0, 1.5}