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Simplifying (x4 + y4) * dx + -1(2x2) * y * dy = 0 Reorder the terms for easier multiplication: dx(x4 + y4) + -1(2x2) * y * dy = 0 (x4 * dx + y4 * dx) + -1(2x2) * y * dy = 0 Reorder the terms: (dxy4 + dx5) + -1(2x2) * y * dy = 0 (dxy4 + dx5) + -1(2x2) * y * dy = 0 Remove parenthesis around (2x2) dxy4 + dx5 + -1 * 2x2 * y * dy = 0 Multiply -1 * 2 dxy4 + dx5 + -2x2 * y * dy = 0 Multiply x2 * y dxy4 + dx5 + -2x2y * dy = 0 Multiply x2y * dy dxy4 + dx5 + -2dx2y2 = 0 Reorder the terms: dxy4 + -2dx2y2 + dx5 = 0 Solving dxy4 + -2dx2y2 + dx5 = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'dx'. dx(y4 + -2xy2 + x4) = 0Subproblem 1
Set the factor 'dx' equal to zero and attempt to solve: Simplifying dx = 0 Solving dx = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dx = 0 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 '(y4 + -2xy2 + x4)' equal to zero and attempt to solve: Simplifying y4 + -2xy2 + x4 = 0 Reorder the terms: -2xy2 + x4 + y4 = 0 Solving -2xy2 + x4 + y4 = 0 Move all terms containing d to the left, all other terms to the right. Add '2xy2' to each side of the equation. -2xy2 + x4 + 2xy2 + y4 = 0 + 2xy2 Reorder the terms: -2xy2 + 2xy2 + x4 + y4 = 0 + 2xy2 Combine like terms: -2xy2 + 2xy2 = 0 0 + x4 + y4 = 0 + 2xy2 x4 + y4 = 0 + 2xy2 Remove the zero: x4 + y4 = 2xy2 Add '-1x4' to each side of the equation. x4 + -1x4 + y4 = 2xy2 + -1x4 Combine like terms: x4 + -1x4 = 0 0 + y4 = 2xy2 + -1x4 y4 = 2xy2 + -1x4 Add '-1y4' to each side of the equation. y4 + -1y4 = 2xy2 + -1x4 + -1y4 Combine like terms: y4 + -1y4 = 0 0 = 2xy2 + -1x4 + -1y4 Simplifying 0 = 2xy2 + -1x4 + -1y4 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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