(4x^2+y)(x^2-2y)=0

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Solution for (4x^2+y)(x^2-2y)=0 equation: 


Simplifying
(4x2 + y)(x2 + -2y) = 0

Multiply (4x2 + y) * (x2 + -2y)
(4x2 * (x2 + -2y) + y(x2 + -2y)) = 0
((x2 * 4x2 + -2y * 4x2) + y(x2 + -2y)) = 0

Reorder the terms:
((-8x2y + 4x4) + y(x2 + -2y)) = 0
((-8x2y + 4x4) + y(x2 + -2y)) = 0
(-8x2y + 4x4 + (x2 * y + -2y * y)) = 0
(-8x2y + 4x4 + (x2y + -2y2)) = 0

Reorder the terms:
(-8x2y + x2y + 4x4 + -2y2) = 0

Combine like terms: -8x2y + x2y = -7x2y
(-7x2y + 4x4 + -2y2) = 0

Solving
-7x2y + 4x4 + -2y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x2 + -2y)(4x2 + y) = 0


Subproblem 1
Set the factor '(x2 + -2y)' equal to zero and attempt to solve:

Simplifying
x2 + -2y = 0

Solving
x2 + -2y = 0

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

Add '2y' to each side of the equation.
x2 + -2y + 2y = 0 + 2y

Combine like terms: -2y + 2y = 0
x2 + 0 = 0 + 2y
x2 = 0 + 2y
Remove the zero:
x2 = 2y

Simplifying
x2 = 2y

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

Simplifying
4x2 + y = 0

Solving
4x2 + y = 0

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

Add '-1y' to each side of the equation.
4x2 + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
4x2 + 0 = 0 + -1y
4x2 = 0 + -1y
Remove the zero:
4x2 = -1y

Divide each side by '4'.
x2 = -0.25y

Simplifying
x2 = -0.25y

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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