x^4+4y^2+5y=0

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Solution for x^4+4y^2+5y=0 equation: 


Simplifying
x4 + 4y2 + 5y = 0

Reorder the terms:
x4 + 5y + 4y2 = 0

Solving
x4 + 5y + 4y2 = 0

Solving for variable 'x'.

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

Add '-5y' to each side of the equation.
x4 + 5y + -5y + 4y2 = 0 + -5y

Combine like terms: 5y + -5y = 0
x4 + 0 + 4y2 = 0 + -5y
x4 + 4y2 = 0 + -5y
Remove the zero:
x4 + 4y2 = -5y

Add '-4y2' to each side of the equation.
x4 + 4y2 + -4y2 = -5y + -4y2

Combine like terms: 4y2 + -4y2 = 0
x4 + 0 = -5y + -4y2
x4 = -5y + -4y2

Simplifying
x4 = -5y + -4y2

Reorder the terms:
x4 + 5y + 4y2 = -5y + 5y + -4y2 + 4y2

Combine like terms: -5y + 5y = 0
x4 + 5y + 4y2 = 0 + -4y2 + 4y2
x4 + 5y + 4y2 = -4y2 + 4y2

Combine like terms: -4y2 + 4y2 = 0
x4 + 5y + 4y2 = 0

Factor a trinomial.
(x2 + y)(x2 + 4y) = 0


Subproblem 1
Set the factor '(x2 + y)' equal to zero and attempt to solve:

Simplifying
x2 + y = 0

Solving
x2 + y = 0

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

Add '-1y' to each side of the equation.
x2 + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
x2 + 0 = 0 + -1y
x2 = 0 + -1y
Remove the zero:
x2 = -1y

Simplifying
x2 = -1y

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 '(x2 + 4y)' equal to zero and attempt to solve:

Simplifying
x2 + 4y = 0

Solving
x2 + 4y = 0

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

Add '-4y' to each side of the equation.
x2 + 4y + -4y = 0 + -4y

Combine like terms: 4y + -4y = 0
x2 + 0 = 0 + -4y
x2 = 0 + -4y
Remove the zero:
x2 = -4y

Simplifying
x2 = -4y

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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