-y(5y^3-3y^2+2y)=

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Solution for -y(5y^3-3y^2+2y)= equation: 


Simplifying
-1y(5y3 + -3y2 + 2y) = 0

Reorder the terms:
-1y(2y + -3y2 + 5y3) = 0
(2y * -1y + -3y2 * -1y + 5y3 * -1y) = 0
(-2y2 + 3y3 + -5y4) = 0

Solving
-2y2 + 3y3 + -5y4 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y2'.
y2(-2 + 3y + -5y2) = 0


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 + 3y + -5y2)' equal to zero and attempt to solve:

Simplifying
-2 + 3y + -5y2 = 0

Solving
-2 + 3y + -5y2 = 0

Begin completing the square.  Divide all terms by
-5 the coefficient of the squared term: 

Divide each side by '-5'.
0.4 + -0.6y + y2 = 0

Move the constant term to the right:

Add '-0.4' to each side of the equation.
0.4 + -0.6y + -0.4 + y2 = 0 + -0.4

Reorder the terms:
0.4 + -0.4 + -0.6y + y2 = 0 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + -0.6y + y2 = 0 + -0.4
-0.6y + y2 = 0 + -0.4

Combine like terms: 0 + -0.4 = -0.4
-0.6y + y2 = -0.4

The y term is -0.6y.  Take half its coefficient (-0.3).
Square it (0.09) and add it to both sides.

Add '0.09' to each side of the equation.
-0.6y + 0.09 + y2 = -0.4 + 0.09

Reorder the terms:
0.09 + -0.6y + y2 = -0.4 + 0.09

Combine like terms: -0.4 + 0.09 = -0.31
0.09 + -0.6y + y2 = -0.31

Factor a perfect square on the left side:
(y + -0.3)(y + -0.3) = -0.31

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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