(4c^3-2c^2)=2c

Solution for (4c^3-2c^2)=2c equation:

Simplifying
(4c3 + -2c2) = 2c

Reorder the terms:
(-2c2 + 4c3) = 2c

Remove parenthesis around (-2c2 + 4c3)
-2c2 + 4c3 = 2c

Solving
-2c2 + 4c3 = 2c

Solving for variable 'c'.

Reorder the terms:
-2c + -2c2 + 4c3 = 2c + -2c

Combine like terms: 2c + -2c = 0
-2c + -2c2 + 4c3 = 0

Factor out the Greatest Common Factor (GCF), '2c'.
2c(-1 + -1c + 2c2) = 0

Factor a trinomial.
2c((-1 + -2c)(1 + -1c)) = 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 '(-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
Subproblem 3
Set the factor '(1 + -1c)' equal to zero and attempt to solve:

Simplifying
1 + -1c = 0

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

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

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

Divide each side by '-1'.
c = 1

Simplifying
c = 1
Solution
c = {0, -0.5, 1}