Y^4-9y^2=0

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Solution for Y^4-9y^2=0 equation: 


Simplifying
Y4 + -9y2 = 0

Solving
Y4 + -9y2 = 0

Solving for variable 'Y'.

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

Add '9y2' to each side of the equation.
Y4 + -9y2 + 9y2 = 0 + 9y2

Combine like terms: -9y2 + 9y2 = 0
Y4 + 0 = 0 + 9y2
Y4 = 0 + 9y2
Remove the zero:
Y4 = 9y2

Simplifying
Y4 = 9y2

Combine like terms: 9y2 + -9y2 = 0
Y4 + -9y2 = 0

Factor a difference between two squares.
(Y2 + 3y)(Y2 + -3y) = 0


Subproblem 1
Set the factor '(Y2 + 3y)' equal to zero and attempt to solve:

Simplifying
Y2 + 3y = 0

Solving
Y2 + 3y = 0

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

Add '-3y' to each side of the equation.
Y2 + 3y + -3y = 0 + -3y

Combine like terms: 3y + -3y = 0
Y2 + 0 = 0 + -3y
Y2 = 0 + -3y
Remove the zero:
Y2 = -3y

Simplifying
Y2 = -3y

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 '(Y2 + -3y)' equal to zero and attempt to solve:

Simplifying
Y2 + -3y = 0

Solving
Y2 + -3y = 0

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

Add '3y' to each side of the equation.
Y2 + -3y + 3y = 0 + 3y

Combine like terms: -3y + 3y = 0
Y2 + 0 = 0 + 3y
Y2 = 0 + 3y
Remove the zero:
Y2 = 3y

Simplifying
Y2 = 3y

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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