5y^5+7y^3=3y^7+10y

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Solution for 5y^5+7y^3=3y^7+10y equation: 


Simplifying
5y5 + 7y3 = 3y7 + 10y

Reorder the terms:
7y3 + 5y5 = 3y7 + 10y

Reorder the terms:
7y3 + 5y5 = 10y + 3y7

Solving
7y3 + 5y5 = 10y + 3y7

Solving for variable 'y'.

Reorder the terms:
-10y + 7y3 + 5y5 + -3y7 = 10y + 3y7 + -10y + -3y7

Reorder the terms:
-10y + 7y3 + 5y5 + -3y7 = 10y + -10y + 3y7 + -3y7

Combine like terms: 10y + -10y = 0
-10y + 7y3 + 5y5 + -3y7 = 0 + 3y7 + -3y7
-10y + 7y3 + 5y5 + -3y7 = 3y7 + -3y7

Combine like terms: 3y7 + -3y7 = 0
-10y + 7y3 + 5y5 + -3y7 = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(-10 + 7y2 + 5y4 + -3y6) = 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 '(-10 + 7y2 + 5y4 + -3y6)' equal to zero and attempt to solve:

Simplifying
-10 + 7y2 + 5y4 + -3y6 = 0

Solving
-10 + 7y2 + 5y4 + -3y6 = 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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