Y^4-10y^2=9

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Solution for Y^4-10y^2=9 equation: 


Simplifying
Y4 + -10y2 = 9

Solving
Y4 + -10y2 = 9

Solving for variable 'Y'.

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

Add '10y2' to each side of the equation.
Y4 + -10y2 + 10y2 = 9 + 10y2

Combine like terms: -10y2 + 10y2 = 0
Y4 + 0 = 9 + 10y2
Y4 = 9 + 10y2

Simplifying
Y4 = 9 + 10y2

Reorder the terms:
-9 + Y4 + -10y2 = 9 + 10y2 + -9 + -10y2

Reorder the terms:
-9 + Y4 + -10y2 = 9 + -9 + 10y2 + -10y2

Combine like terms: 9 + -9 = 0
-9 + Y4 + -10y2 = 0 + 10y2 + -10y2
-9 + Y4 + -10y2 = 10y2 + -10y2

Combine like terms: 10y2 + -10y2 = 0
-9 + Y4 + -10y2 = 0

Factor a trinomial.
(Y2 + -10y)(Y2 + y) = 0


Subproblem 1
Set the factor '(Y2 + -10y)' equal to zero and attempt to solve:

Simplifying
Y2 + -10y = 0

Solving
Y2 + -10y = 0

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

Add '10y' to each side of the equation.
Y2 + -10y + 10y = 0 + 10y

Combine like terms: -10y + 10y = 0
Y2 + 0 = 0 + 10y
Y2 = 0 + 10y
Remove the zero:
Y2 = 10y

Simplifying
Y2 = 10y

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 + y)' equal to zero and attempt to solve:

Simplifying
Y2 + y = 0

Solving
Y2 + y = 0

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

Add '-1y' to each side of the equation.
Y2 + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
Y2 + 0 = 0 + -1y
Y2 = 0 + -1y
Remove the zero:
Y2 = -1y

Simplifying
Y2 = -1y

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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