16x^4+8x^2y+y^2=

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Solution for 16x^4+8x^2y+y^2= equation:


Simplifying
16x4 + 8x2y + y2 = 0

Reorder the terms:
8x2y + 16x4 + y2 = 0

Solving
8x2y + 16x4 + y2 = 0

Solving for variable 'x'.

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

Subproblem 1

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.

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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