=8xy-2x^4

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Solution for =8xy-2x^4 equation:


Simplifying
0 = 8xy + -2x4

Solving
0 = 8xy + -2x4

Solving for variable 'x'.
Remove the zero:
-8xy + 2x4 = 8xy + -2x4 + -8xy + 2x4

Reorder the terms:
-8xy + 2x4 = 8xy + -8xy + -2x4 + 2x4

Combine like terms: 8xy + -8xy = 0
-8xy + 2x4 = 0 + -2x4 + 2x4
-8xy + 2x4 = -2x4 + 2x4

Combine like terms: -2x4 + 2x4 = 0
-8xy + 2x4 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-4y + x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-4y + x3)' equal to zero and attempt to solve: Simplifying -4y + x3 = 0 Reorder the terms: x3 + -4y = 0 Solving x3 + -4y = 0 Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. x3 + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 x3 + 0 = 0 + 4y x3 = 0 + 4y Remove the zero: x3 = 4y Simplifying x3 = 4y 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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