4c(2c-1)=0

Solution for 4c(2c-1)=0 equation:

Simplifying
4c(2c + -1) = 0

Reorder the terms:
4c(-1 + 2c) = 0
(-1 * 4c + 2c * 4c) = 0
(-4c + 8c2) = 0

Solving
-4c + 8c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '4c'.
4c(-1 + 2c) = 0

Ignore the factor 4.
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 + 2c)' equal to zero and attempt to solve:

Simplifying
-1 + 2c = 0

Solving
-1 + 2c = 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 + 2c = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2c = 0 + 1
2c = 0 + 1

Combine like terms: 0 + 1 = 1
2c = 1

Divide each side by '2'.
c = 0.5

Simplifying
c = 0.5
Solution
c = {0, 0.5}