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Simplifying X(y2 + 1) * dy + (x2y + y) * dx = 0 Reorder the terms: X(1 + y2) * dy + (x2y + y) * dx = 0 Reorder the terms for easier multiplication: X * dy(1 + y2) + (x2y + y) * dx = 0 Multiply X * dy dyX(1 + y2) + (x2y + y) * dx = 0 (1 * dyX + y2 * dyX) + (x2y + y) * dx = 0 (1dyX + dy3X) + (x2y + y) * dx = 0 Reorder the terms for easier multiplication: 1dyX + dy3X + dx(x2y + y) = 0 1dyX + dy3X + (x2y * dx + y * dx) = 0 Reorder the terms: 1dyX + dy3X + (dxy + dx3y) = 0 1dyX + dy3X + (dxy + dx3y) = 0 Reorder the terms: dxy + dx3y + 1dyX + dy3X = 0 Solving dxy + dx3y + 1dyX + dy3X = 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), 'dy'. dy(x + x3 + X + y2X) = 0Subproblem 1
Set the factor 'dy' equal to zero and attempt to solve: Simplifying dy = 0 Solving dy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dy = 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 '(x + x3 + X + y2X)' equal to zero and attempt to solve: Simplifying x + x3 + X + y2X = 0 Reorder the terms: X + x + x3 + y2X = 0 Solving X + x + x3 + y2X = 0 Move all terms containing d to the left, all other terms to the right. Add '-1X' to each side of the equation. X + x + x3 + -1X + y2X = 0 + -1X Reorder the terms: X + -1X + x + x3 + y2X = 0 + -1X Combine like terms: X + -1X = 0 0 + x + x3 + y2X = 0 + -1X x + x3 + y2X = 0 + -1X Remove the zero: x + x3 + y2X = -1X Add '-1x' to each side of the equation. x + x3 + -1x + y2X = -1X + -1x Reorder the terms: x + -1x + x3 + y2X = -1X + -1x Combine like terms: x + -1x = 0 0 + x3 + y2X = -1X + -1x x3 + y2X = -1X + -1x Add '-1x3' to each side of the equation. x3 + -1x3 + y2X = -1X + -1x + -1x3 Combine like terms: x3 + -1x3 = 0 0 + y2X = -1X + -1x + -1x3 y2X = -1X + -1x + -1x3 Add '-1y2X' to each side of the equation. y2X + -1y2X = -1X + -1x + -1x3 + -1y2X Combine like terms: y2X + -1y2X = 0 0 = -1X + -1x + -1x3 + -1y2X Simplifying 0 = -1X + -1x + -1x3 + -1y2X 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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