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Simplifying (x2 + y2) * dx + (3x * y2) * dy = 0 Reorder the terms for easier multiplication: dx(x2 + y2) + (3x * y2) * dy = 0 (x2 * dx + y2 * dx) + (3x * y2) * dy = 0 Reorder the terms: (dxy2 + dx3) + (3x * y2) * dy = 0 (dxy2 + dx3) + (3x * y2) * dy = 0 Multiply x * y2 dxy2 + dx3 + (3xy2) * dy = 0 Remove parenthesis around (3xy2) dxy2 + dx3 + 3xy2 * dy = 0 Multiply xy2 * dy dxy2 + dx3 + 3dxy3 = 0 Reorder the terms: dxy2 + 3dxy3 + dx3 = 0 Solving dxy2 + 3dxy3 + dx3 = 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), 'dx'. dx(y2 + 3y3 + 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 + 3y3 + x2)' equal to zero and attempt to solve: Simplifying y2 + 3y3 + x2 = 0 Reorder the terms: x2 + y2 + 3y3 = 0 Solving x2 + y2 + 3y3 = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x2' to each side of the equation. x2 + y2 + -1x2 + 3y3 = 0 + -1x2 Reorder the terms: x2 + -1x2 + y2 + 3y3 = 0 + -1x2 Combine like terms: x2 + -1x2 = 0 0 + y2 + 3y3 = 0 + -1x2 y2 + 3y3 = 0 + -1x2 Remove the zero: y2 + 3y3 = -1x2 Add '-1y2' to each side of the equation. y2 + -1y2 + 3y3 = -1x2 + -1y2 Combine like terms: y2 + -1y2 = 0 0 + 3y3 = -1x2 + -1y2 3y3 = -1x2 + -1y2 Add '-3y3' to each side of the equation. 3y3 + -3y3 = -1x2 + -1y2 + -3y3 Combine like terms: 3y3 + -3y3 = 0 0 = -1x2 + -1y2 + -3y3 Simplifying 0 = -1x2 + -1y2 + -3y3 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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