8x^2y+16x^2-16x^4y=0

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Solution for 8x^2y+16x^2-16x^4y=0 equation:


Simplifying
8x2y + 16x2 + -16x4y = 0

Reorder the terms:
16x2 + 8x2y + -16x4y = 0

Solving
16x2 + 8x2y + -16x4y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8x2'.
8x2(2 + y + -2x2y) = 0

Ignore the factor 8.

Subproblem 1

Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}

Subproblem 2

Set the factor '(2 + y + -2x2y)' equal to zero and attempt to solve: Simplifying 2 + y + -2x2y = 0 Reorder the terms: 2 + -2x2y + y = 0 Solving 2 + -2x2y + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2x2y + -2 + y = 0 + -2 Reorder the terms: 2 + -2 + -2x2y + y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2x2y + y = 0 + -2 -2x2y + y = 0 + -2 Combine like terms: 0 + -2 = -2 -2x2y + y = -2 Add '-1y' to each side of the equation. -2x2y + y + -1y = -2 + -1y Combine like terms: y + -1y = 0 -2x2y + 0 = -2 + -1y -2x2y = -2 + -1y Divide each side by '-2y'. x2 = y-1 + 0.5 Simplifying x2 = y-1 + 0.5 Reorder the terms: x2 = 0.5 + y-1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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