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Simplifying x(x2 + y2) * dy = (y2 + 2x2) * dx Reorder the terms for easier multiplication: x * dy(x2 + y2) = (y2 + 2x2) * dx Multiply x * dy dxy(x2 + y2) = (y2 + 2x2) * dx (x2 * dxy + y2 * dxy) = (y2 + 2x2) * dx Reorder the terms: (dxy3 + dx3y) = (y2 + 2x2) * dx (dxy3 + dx3y) = (y2 + 2x2) * dx Reorder the terms: dxy3 + dx3y = (2x2 + y2) * dx Reorder the terms for easier multiplication: dxy3 + dx3y = dx(2x2 + y2) dxy3 + dx3y = (2x2 * dx + y2 * dx) Reorder the terms: dxy3 + dx3y = (dxy2 + 2dx3) dxy3 + dx3y = (dxy2 + 2dx3) Solving dxy3 + dx3y = dxy2 + 2dx3 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. dxy3 + -1dxy2 + dx3y = dxy2 + -1dxy2 + 2dx3 Reorder the terms: -1dxy2 + dxy3 + dx3y = dxy2 + -1dxy2 + 2dx3 Combine like terms: dxy2 + -1dxy2 = 0 -1dxy2 + dxy3 + dx3y = 0 + 2dx3 -1dxy2 + dxy3 + dx3y = 2dx3 Add '-2dx3' to each side of the equation. -1dxy2 + dxy3 + -2dx3 + dx3y = 2dx3 + -2dx3 Combine like terms: 2dx3 + -2dx3 = 0 -1dxy2 + dxy3 + -2dx3 + dx3y = 0 Factor out the Greatest Common Factor (GCF), 'dx'. dx(-1y2 + y3 + -2x2 + x2y) = 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 '(-1y2 + y3 + -2x2 + x2y)' equal to zero and attempt to solve: Simplifying -1y2 + y3 + -2x2 + x2y = 0 Reorder the terms: -2x2 + x2y + -1y2 + y3 = 0 Solving -2x2 + x2y + -1y2 + y3 = 0 Move all terms containing d to the left, all other terms to the right. Add '2x2' to each side of the equation. -2x2 + x2y + -1y2 + 2x2 + y3 = 0 + 2x2 Reorder the terms: -2x2 + 2x2 + x2y + -1y2 + y3 = 0 + 2x2 Combine like terms: -2x2 + 2x2 = 0 0 + x2y + -1y2 + y3 = 0 + 2x2 x2y + -1y2 + y3 = 0 + 2x2 Remove the zero: x2y + -1y2 + y3 = 2x2 Add '-1x2y' to each side of the equation. x2y + -1y2 + -1x2y + y3 = 2x2 + -1x2y Reorder the terms: x2y + -1x2y + -1y2 + y3 = 2x2 + -1x2y Combine like terms: x2y + -1x2y = 0 0 + -1y2 + y3 = 2x2 + -1x2y -1y2 + y3 = 2x2 + -1x2y Add 'y2' to each side of the equation. -1y2 + y2 + y3 = 2x2 + -1x2y + y2 Combine like terms: -1y2 + y2 = 0 0 + y3 = 2x2 + -1x2y + y2 y3 = 2x2 + -1x2y + y2 Add '-1y3' to each side of the equation. y3 + -1y3 = 2x2 + -1x2y + y2 + -1y3 Combine like terms: y3 + -1y3 = 0 0 = 2x2 + -1x2y + y2 + -1y3 Simplifying 0 = 2x2 + -1x2y + y2 + -1y3 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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