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Simplifying (x2 + x) * dx + (y2 + -1y) * dy = 0 Reorder the terms: (x + x2) * dx + (y2 + -1y) * dy = 0 Reorder the terms for easier multiplication: dx(x + x2) + (y2 + -1y) * dy = 0 (x * dx + x2 * dx) + (y2 + -1y) * dy = 0 (dx2 + dx3) + (y2 + -1y) * dy = 0 Reorder the terms: dx2 + dx3 + (-1y + y2) * dy = 0 Reorder the terms for easier multiplication: dx2 + dx3 + dy(-1y + y2) = 0 dx2 + dx3 + (-1y * dy + y2 * dy) = 0 dx2 + dx3 + (-1dy2 + dy3) = 0 Solving dx2 + dx3 + -1dy2 + dy3 = 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), 'd'. d(x2 + x3 + -1y2 + y3) = 0Subproblem 1
Set the factor 'd' equal to zero and attempt to solve: Simplifying d = 0 Solving d = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d = 0Subproblem 2
Set the factor '(x2 + x3 + -1y2 + y3)' equal to zero and attempt to solve: Simplifying x2 + x3 + -1y2 + y3 = 0 Solving x2 + x3 + -1y2 + y3 = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x2' to each side of the equation. x2 + x3 + -1y2 + -1x2 + y3 = 0 + -1x2 Reorder the terms: x2 + -1x2 + x3 + -1y2 + y3 = 0 + -1x2 Combine like terms: x2 + -1x2 = 0 0 + x3 + -1y2 + y3 = 0 + -1x2 x3 + -1y2 + y3 = 0 + -1x2 Remove the zero: x3 + -1y2 + y3 = -1x2 Add '-1x3' to each side of the equation. x3 + -1y2 + -1x3 + y3 = -1x2 + -1x3 Reorder the terms: x3 + -1x3 + -1y2 + y3 = -1x2 + -1x3 Combine like terms: x3 + -1x3 = 0 0 + -1y2 + y3 = -1x2 + -1x3 -1y2 + y3 = -1x2 + -1x3 Add 'y2' to each side of the equation. -1y2 + y2 + y3 = -1x2 + -1x3 + y2 Combine like terms: -1y2 + y2 = 0 0 + y3 = -1x2 + -1x3 + y2 y3 = -1x2 + -1x3 + y2 Add '-1y3' to each side of the equation. y3 + -1y3 = -1x2 + -1x3 + y2 + -1y3 Combine like terms: y3 + -1y3 = 0 0 = -1x2 + -1x3 + y2 + -1y3 Simplifying 0 = -1x2 + -1x3 + y2 + -1y3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
d = {0}
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