-5c(4c^2-2c)=

Solution for -5c(4c^2-2c)= equation:

Simplifying
-5c(4c2 + -2c) = 0

Reorder the terms:
-5c(-2c + 4c2) = 0
(-2c * -5c + 4c2 * -5c) = 0
(10c2 + -20c3) = 0

Solving
10c2 + -20c3 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '10c2'.
10c2(1 + -2c) = 0

Ignore the factor 10.
Subproblem 1
Set the factor 'c2' equal to zero and attempt to solve:

Simplifying
c2 = 0

Solving
c2 = 0

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

Simplifying
c2 = 0

Take the square root of each side:
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}