(y^2+2y)(y^3-2y^2+1)=

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Solution for (y^2+2y)(y^3-2y^2+1)= equation: 


Simplifying
(y2 + 2y)(y3 + -2y2 + 1) = 0

Reorder the terms:
(2y + y2)(y3 + -2y2 + 1) = 0

Reorder the terms:
(2y + y2)(1 + -2y2 + y3) = 0

Multiply (2y + y2) * (1 + -2y2 + y3)
(2y * (1 + -2y2 + y3) + y2(1 + -2y2 + y3)) = 0
((1 * 2y + -2y2 * 2y + y3 * 2y) + y2(1 + -2y2 + y3)) = 0
((2y + -4y3 + 2y4) + y2(1 + -2y2 + y3)) = 0
(2y + -4y3 + 2y4 + (1 * y2 + -2y2 * y2 + y3 * y2)) = 0
(2y + -4y3 + 2y4 + (1y2 + -2y4 + y5)) = 0

Reorder the terms:
(2y + 1y2 + -4y3 + 2y4 + -2y4 + y5) = 0

Combine like terms: 2y4 + -2y4 = 0
(2y + 1y2 + -4y3 + 0 + y5) = 0
(2y + 1y2 + -4y3 + y5) = 0

Solving
2y + 1y2 + -4y3 + y5 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(2 + y + -4y2 + y4) = 0


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 '(2 + y + -4y2 + y4)' equal to zero and attempt to solve:

Simplifying
2 + y + -4y2 + y4 = 0

Solving
2 + y + -4y2 + y4 = 0

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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