9y^5=-1125y^2

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Solution for 9y^5=-1125y^2 equation: 


Simplifying
9y5 = -1125y2

Solving
9y5 = -1125y2

Solving for variable 'y'.

Reorder the terms:
1125y2 + 9y5 = -1125y2 + 1125y2

Combine like terms: -1125y2 + 1125y2 = 0
1125y2 + 9y5 = 0

Factor out the Greatest Common Factor (GCF), '9y2'.
9y2(125 + y3) = 0

Ignore the factor 9.

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 '(125 + y3)' equal to zero and attempt to solve:

Simplifying
125 + y3 = 0

Solving
125 + y3 = 0

Move all terms containing y to the left, all other terms to the right.

Add '-125' to each side of the equation.
125 + -125 + y3 = 0 + -125

Combine like terms: 125 + -125 = 0
0 + y3 = 0 + -125
y3 = 0 + -125

Combine like terms: 0 + -125 = -125
y3 = -125

Simplifying
y3 = -125

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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