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Simplifying (x4 + -1y4) * dx + 2x3 * y * dy = 0 Reorder the terms for easier multiplication: dx(x4 + -1y4) + 2x3 * y * dy = 0 (x4 * dx + -1y4 * dx) + 2x3 * y * dy = 0 Reorder the terms: (-1dxy4 + dx5) + 2x3 * y * dy = 0 (-1dxy4 + dx5) + 2x3 * y * dy = 0 Multiply x3 * y -1dxy4 + dx5 + 2x3y * dy = 0 Multiply x3y * dy -1dxy4 + dx5 + 2dx3y2 = 0 Reorder the terms: -1dxy4 + 2dx3y2 + dx5 = 0 Solving -1dxy4 + 2dx3y2 + 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(-1y4 + 2x2y2 + 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 '(-1y4 + 2x2y2 + x4)' equal to zero and attempt to solve: Simplifying -1y4 + 2x2y2 + x4 = 0 Reorder the terms: 2x2y2 + x4 + -1y4 = 0 Solving 2x2y2 + x4 + -1y4 = 0 Move all terms containing d to the left, all other terms to the right. Add '-2x2y2' to each side of the equation. 2x2y2 + x4 + -2x2y2 + -1y4 = 0 + -2x2y2 Reorder the terms: 2x2y2 + -2x2y2 + x4 + -1y4 = 0 + -2x2y2 Combine like terms: 2x2y2 + -2x2y2 = 0 0 + x4 + -1y4 = 0 + -2x2y2 x4 + -1y4 = 0 + -2x2y2 Remove the zero: x4 + -1y4 = -2x2y2 Add '-1x4' to each side of the equation. x4 + -1x4 + -1y4 = -2x2y2 + -1x4 Combine like terms: x4 + -1x4 = 0 0 + -1y4 = -2x2y2 + -1x4 -1y4 = -2x2y2 + -1x4 Add 'y4' to each side of the equation. -1y4 + y4 = -2x2y2 + -1x4 + y4 Combine like terms: -1y4 + y4 = 0 0 = -2x2y2 + -1x4 + y4 Simplifying 0 = -2x2y2 + -1x4 + y4 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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