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

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


Simplifying
(2y5 + -5y2) + (3y5 + -1y3 + 2y2) = 0

Reorder the terms:
(-5y2 + 2y5) + (3y5 + -1y3 + 2y2) = 0

Remove parenthesis around (-5y2 + 2y5)
-5y2 + 2y5 + (3y5 + -1y3 + 2y2) = 0

Reorder the terms:
-5y2 + 2y5 + (2y2 + -1y3 + 3y5) = 0

Remove parenthesis around (2y2 + -1y3 + 3y5)
-5y2 + 2y5 + 2y2 + -1y3 + 3y5 = 0

Reorder the terms:
-5y2 + 2y2 + -1y3 + 2y5 + 3y5 = 0

Combine like terms: -5y2 + 2y2 = -3y2
-3y2 + -1y3 + 2y5 + 3y5 = 0

Combine like terms: 2y5 + 3y5 = 5y5
-3y2 + -1y3 + 5y5 = 0

Solving
-3y2 + -1y3 + 5y5 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y2'.
y2(-3 + -1y + 5y3) = 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 '(-3 + -1y + 5y3)' equal to zero and attempt to solve:

Simplifying
-3 + -1y + 5y3 = 0

Solving
-3 + -1y + 5y3 = 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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