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Simplifying (x2 + 2y2) * dx = xy * dy Reorder the terms for easier multiplication: dx(x2 + 2y2) = xy * dy (x2 * dx + 2y2 * dx) = xy * dy Reorder the terms: (2dxy2 + dx3) = xy * dy (2dxy2 + dx3) = xy * dy Multiply xy * dy 2dxy2 + dx3 = dxy2 Solving 2dxy2 + dx3 = dxy2 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1dxy2' to each side of the equation. 2dxy2 + -1dxy2 + dx3 = dxy2 + -1dxy2 Combine like terms: 2dxy2 + -1dxy2 = 1dxy2 1dxy2 + dx3 = dxy2 + -1dxy2 Combine like terms: dxy2 + -1dxy2 = 0 1dxy2 + dx3 = 0 Factor out the Greatest Common Factor (GCF), 'dx'. dx(y2 + x2) = 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 '(y2 + x2)' equal to zero and attempt to solve: Simplifying y2 + x2 = 0 Reorder the terms: x2 + y2 = 0 Solving x2 + y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x2' to each side of the equation. x2 + -1x2 + y2 = 0 + -1x2 Combine like terms: x2 + -1x2 = 0 0 + y2 = 0 + -1x2 y2 = 0 + -1x2 Remove the zero: y2 = -1x2 Add '-1y2' to each side of the equation. y2 + -1y2 = -1x2 + -1y2 Combine like terms: y2 + -1y2 = 0 0 = -1x2 + -1y2 Simplifying 0 = -1x2 + -1y2 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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