Y^4-37y^2=-36

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Solution for Y^4-37y^2=-36 equation: 


Simplifying
Y4 + -37y2 = -36

Solving
Y4 + -37y2 = -36

Solving for variable 'Y'.

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

Add '37y2' to each side of the equation.
Y4 + -37y2 + 37y2 = -36 + 37y2

Combine like terms: -37y2 + 37y2 = 0
Y4 + 0 = -36 + 37y2
Y4 = -36 + 37y2

Simplifying
Y4 = -36 + 37y2

Reorder the terms:
36 + Y4 + -37y2 = -36 + 37y2 + 36 + -37y2

Reorder the terms:
36 + Y4 + -37y2 = -36 + 36 + 37y2 + -37y2

Combine like terms: -36 + 36 = 0
36 + Y4 + -37y2 = 0 + 37y2 + -37y2
36 + Y4 + -37y2 = 37y2 + -37y2

Combine like terms: 37y2 + -37y2 = 0
36 + Y4 + -37y2 = 0

Factor a trinomial.
(Y2 + -1y)(Y2 + 37y) = 0


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

Simplifying
Y2 + -1y = 0

Solving
Y2 + -1y = 0

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

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

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

Simplifying
Y2 = 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 '(Y2 + 37y)' equal to zero and attempt to solve:

Simplifying
Y2 + 37y = 0

Solving
Y2 + 37y = 0

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

Add '-37y' to each side of the equation.
Y2 + 37y + -37y = 0 + -37y

Combine like terms: 37y + -37y = 0
Y2 + 0 = 0 + -37y
Y2 = 0 + -37y
Remove the zero:
Y2 = -37y

Simplifying
Y2 = -37y

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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