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Simplifying x(x + y) * dy = (x2 + y2) * dx Reorder the terms for easier multiplication: x * dy(x + y) = (x2 + y2) * dx Multiply x * dy dxy(x + y) = (x2 + y2) * dx (x * dxy + y * dxy) = (x2 + y2) * dx Reorder the terms: (dxy2 + dx2y) = (x2 + y2) * dx (dxy2 + dx2y) = (x2 + y2) * dx Reorder the terms for easier multiplication: dxy2 + dx2y = dx(x2 + y2) dxy2 + dx2y = (x2 * dx + y2 * dx) Reorder the terms: dxy2 + dx2y = (dxy2 + dx3) dxy2 + dx2y = (dxy2 + dx3) Add '-1dxy2' to each side of the equation. dxy2 + -1dxy2 + dx2y = dxy2 + -1dxy2 + dx3 Combine like terms: dxy2 + -1dxy2 = 0 0 + dx2y = dxy2 + -1dxy2 + dx3 dx2y = dxy2 + -1dxy2 + dx3 Combine like terms: dxy2 + -1dxy2 = 0 dx2y = 0 + dx3 dx2y = dx3 Solving dx2y = dx3 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1dx3' to each side of the equation. dx2y + -1dx3 = dx3 + -1dx3 Combine like terms: dx3 + -1dx3 = 0 dx2y + -1dx3 = 0 Factor out the Greatest Common Factor (GCF), 'dx2'. dx2(y + -1x) = 0Subproblem 1
Set the factor 'dx2' equal to zero and attempt to solve: Simplifying dx2 = 0 Solving dx2 = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dx2 = 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 '(y + -1x)' equal to zero and attempt to solve: Simplifying y + -1x = 0 Reorder the terms: -1x + y = 0 Solving -1x + y = 0 Move all terms containing d to the left, all other terms to the right. Add 'x' to each side of the equation. -1x + x + y = 0 + x Combine like terms: -1x + x = 0 0 + y = 0 + x y = 0 + x Remove the zero: y = x Add '-1y' to each side of the equation. y + -1y = x + -1y Combine like terms: y + -1y = 0 0 = x + -1y Simplifying 0 = x + -1y 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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