(-4y^2)(2-y)=0

Solution for (-4y^2)(2-y)=0 equation:

Simplifying
(-4y2)(2 + -1y) = 0

Remove parenthesis around (-4y2)
-4y2(2 + -1y) = 0
(2 * -4y2 + -1y * -4y2) = 0
(-8y2 + 4y3) = 0

Solving
-8y2 + 4y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4y2'.
4y2(-2 + y) = 0

Ignore the factor 4.
Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve:

Simplifying
y2 = 0

Solving
y2 = 0

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

Simplifying
y2 = 0

Take the square root of each side:
y = {0}
Subproblem 2
Set the factor '(-2 + y)' equal to zero and attempt to solve:

Simplifying
-2 + y = 0

Solving
-2 + y = 0

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

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

Combine like terms: -2 + 2 = 0
0 + y = 0 + 2
y = 0 + 2

Combine like terms: 0 + 2 = 2
y = 2

Simplifying
y = 2
Solution
y = {0, 2}