r^4-10y^2+9y=0

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Solution for r^4-10y^2+9y=0 equation: 


Simplifying
r4 + -10y2 + 9y = 0

Reorder the terms:
r4 + 9y + -10y2 = 0

Solving
r4 + 9y + -10y2 = 0

Solving for variable 'r'.

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

Add '-9y' to each side of the equation.
r4 + 9y + -9y + -10y2 = 0 + -9y

Combine like terms: 9y + -9y = 0
r4 + 0 + -10y2 = 0 + -9y
r4 + -10y2 = 0 + -9y
Remove the zero:
r4 + -10y2 = -9y

Add '10y2' to each side of the equation.
r4 + -10y2 + 10y2 = -9y + 10y2

Combine like terms: -10y2 + 10y2 = 0
r4 + 0 = -9y + 10y2
r4 = -9y + 10y2

Simplifying
r4 = -9y + 10y2

Reorder the terms:
r4 + 9y + -10y2 = -9y + 9y + 10y2 + -10y2

Combine like terms: -9y + 9y = 0
r4 + 9y + -10y2 = 0 + 10y2 + -10y2
r4 + 9y + -10y2 = 10y2 + -10y2

Combine like terms: 10y2 + -10y2 = 0
r4 + 9y + -10y2 = 0

Factor a trinomial.
(r2 + -1y)(r2 + 10y) = 0


Subproblem 1
Set the factor '(r2 + -1y)' equal to zero and attempt to solve:

Simplifying
r2 + -1y = 0

Solving
r2 + -1y = 0

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

Add 'y' to each side of the equation.
r2 + -1y + y = 0 + y

Combine like terms: -1y + y = 0
r2 + 0 = 0 + y
r2 = 0 + y
Remove the zero:
r2 = y

Simplifying
r2 = y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(r2 + 10y)' equal to zero and attempt to solve:

Simplifying
r2 + 10y = 0

Solving
r2 + 10y = 0

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

Add '-10y' to each side of the equation.
r2 + 10y + -10y = 0 + -10y

Combine like terms: 10y + -10y = 0
r2 + 0 = 0 + -10y
r2 = 0 + -10y
Remove the zero:
r2 = -10y

Simplifying
r2 = -10y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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