5y^7-5y^5-40y^4+40y^2=0

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Solution for 5y^7-5y^5-40y^4+40y^2=0 equation: 


Simplifying
5y7 + -5y5 + -40y4 + 40y2 = 0

Reorder the terms:
40y2 + -40y4 + -5y5 + 5y7 = 0

Solving
40y2 + -40y4 + -5y5 + 5y7 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '5y2'.
5y2(8 + -8y2 + -1y3 + y5) = 0

Ignore the factor 5.

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 '(8 + -8y2 + -1y3 + y5)' equal to zero and attempt to solve:

Simplifying
8 + -8y2 + -1y3 + y5 = 0

Solving
8 + -8y2 + -1y3 + y5 = 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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