3y-3y^3=y^2-y^4

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Solution for 3y-3y^3=y^2-y^4 equation: 


Simplifying
3y + -3y3 = y2 + -1y4

Solving
3y + -3y3 = y2 + -1y4

Solving for variable 'y'.

Reorder the terms:
3y + -1y2 + -3y3 + y4 = y2 + -1y4 + -1y2 + y4

Reorder the terms:
3y + -1y2 + -3y3 + y4 = y2 + -1y2 + -1y4 + y4

Combine like terms: y2 + -1y2 = 0
3y + -1y2 + -3y3 + y4 = 0 + -1y4 + y4
3y + -1y2 + -3y3 + y4 = -1y4 + y4

Combine like terms: -1y4 + y4 = 0
3y + -1y2 + -3y3 + y4 = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(3 + -1y + -3y2 + y3) = 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 '(3 + -1y + -3y2 + y3)' equal to zero and attempt to solve:

Simplifying
3 + -1y + -3y2 + y3 = 0

Solving
3 + -1y + -3y2 + y3 = 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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