x^2-4y^2-221y^4=0

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Solution for x^2-4y^2-221y^4=0 equation: 


Simplifying
x2 + -4y2 + -221y4 = 0

Solving
x2 + -4y2 + -221y4 = 0

Solving for variable 'x'.

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

Add '4y2' to each side of the equation.
x2 + -4y2 + 4y2 + -221y4 = 0 + 4y2

Combine like terms: -4y2 + 4y2 = 0
x2 + 0 + -221y4 = 0 + 4y2
x2 + -221y4 = 0 + 4y2
Remove the zero:
x2 + -221y4 = 4y2

Add '221y4' to each side of the equation.
x2 + -221y4 + 221y4 = 4y2 + 221y4

Combine like terms: -221y4 + 221y4 = 0
x2 + 0 = 4y2 + 221y4
x2 = 4y2 + 221y4

Simplifying
x2 = 4y2 + 221y4

Reorder the terms:
x2 + -4y2 + -221y4 = 4y2 + -4y2 + 221y4 + -221y4

Combine like terms: 4y2 + -4y2 = 0
x2 + -4y2 + -221y4 = 0 + 221y4 + -221y4
x2 + -4y2 + -221y4 = 221y4 + -221y4

Combine like terms: 221y4 + -221y4 = 0
x2 + -4y2 + -221y4 = 0

Factor a trinomial.
(x + -17y2)(x + 13y2) = 0


Subproblem 1
Set the factor '(x + -17y2)' equal to zero and attempt to solve:

Simplifying
x + -17y2 = 0

Solving
x + -17y2 = 0

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

Add '17y2' to each side of the equation.
x + -17y2 + 17y2 = 0 + 17y2

Combine like terms: -17y2 + 17y2 = 0
x + 0 = 0 + 17y2
x = 0 + 17y2
Remove the zero:
x = 17y2

Simplifying
x = 17y2

Subproblem 2
Set the factor '(x + 13y2)' equal to zero and attempt to solve:

Simplifying
x + 13y2 = 0

Solving
x + 13y2 = 0

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

Add '-13y2' to each side of the equation.
x + 13y2 + -13y2 = 0 + -13y2

Combine like terms: 13y2 + -13y2 = 0
x + 0 = 0 + -13y2
x = 0 + -13y2
Remove the zero:
x = -13y2

Simplifying
x = -13y2
Solution
x = {17y2, -13y2}

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