-4y^3+8y^2-32y=

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Solution for -4y^3+8y^2-32y= equation: 


Simplifying
-4y3 + 8y2 + -32y = 0

Reorder the terms:
-32y + 8y2 + -4y3 = 0

Solving
-32y + 8y2 + -4y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4y'.
4y(-8 + 2y + -1y2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0

Subproblem 2
Set the factor '(-8 + 2y + -1y2)' equal to zero and attempt to solve:

Simplifying
-8 + 2y + -1y2 = 0

Solving
-8 + 2y + -1y2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
8 + -2y + y2 = 0

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + -2y + -8 + y2 = 0 + -8

Reorder the terms:
8 + -8 + -2y + y2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -2y + y2 = 0 + -8
-2y + y2 = 0 + -8

Combine like terms: 0 + -8 = -8
-2y + y2 = -8

The y term is -2y.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2y + 1 + y2 = -8 + 1

Reorder the terms:
1 + -2y + y2 = -8 + 1

Combine like terms: -8 + 1 = -7
1 + -2y + y2 = -7

Factor a perfect square on the left side:
(y + -1)(y + -1) = -7

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
y = {0}

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