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Simplifying x4y2 + -64 = 0 Reorder the terms: -64 + x4y2 = 0 Solving -64 + x4y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + x4y2 = 0 + 64 Combine like terms: -64 + 64 = 0 0 + x4y2 = 0 + 64 x4y2 = 0 + 64 Combine like terms: 0 + 64 = 64 x4y2 = 64 Divide each side by 'y2'. x4 = 64y-2 Simplifying x4 = 64y-2 Combine like terms: 64y-2 + -64y-2 = 0 x4 + -64y-2 = 0 Factor out the Greatest Common Factor (GCF), 'y-2'. y-2(x4y2 + -64) = 0 Factor a difference between two squares. y-2((x2y + 8)(x2y + -8)) = 0Subproblem 1
Set the factor 'y-2' equal to zero and attempt to solve: Simplifying y-2 = 0 Solving y-2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y-2' to each side of the equation. y-2 + -1y-2 = 0 + -1y-2 Remove the zero: 0 = -1y-2 Simplifying 0 = -1y-2 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 '(x2y + 8)' equal to zero and attempt to solve: Simplifying x2y + 8 = 0 Reorder the terms: 8 + x2y = 0 Solving 8 + x2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x2y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x2y = 0 + -8 x2y = 0 + -8 Combine like terms: 0 + -8 = -8 x2y = -8 Divide each side by 'y'. x2 = -8y-1 Simplifying x2 = -8y-1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(x2y + -8)' equal to zero and attempt to solve: Simplifying x2y + -8 = 0 Reorder the terms: -8 + x2y = 0 Solving -8 + x2y = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + x2y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x2y = 0 + 8 x2y = 0 + 8 Combine like terms: 0 + 8 = 8 x2y = 8 Divide each side by 'y'. x2 = 8y-1 Simplifying x2 = 8y-1 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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