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Simplifying (x4 + y4) * dx + (2x3y) * dy = 0 Reorder the terms for easier multiplication: dx(x4 + y4) + (2x3y) * dy = 0 (x4 * dx + y4 * dx) + (2x3y) * dy = 0 Reorder the terms: (dxy4 + dx5) + (2x3y) * dy = 0 (dxy4 + dx5) + (2x3y) * dy = 0 Remove parenthesis around (2x3y) dxy4 + dx5 + 2x3y * dy = 0 Multiply x3y * dy dxy4 + dx5 + 2dx3y2 = 0 Reorder the terms: dxy4 + 2dx3y2 + dx5 = 0 Solving dxy4 + 2dx3y2 + dx5 = 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(y4 + 2x2y2 + x4) = 0 Factor a trinomial. dx((y2 + x2)(y2 + 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 + x2)' equal to zero and attempt to solve: Simplifying y2 + x2 = 0 Reorder the terms: x2 + y2 = 0 Solving x2 + y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x2' to each side of the equation. x2 + -1x2 + y2 = 0 + -1x2 Combine like terms: x2 + -1x2 = 0 0 + y2 = 0 + -1x2 y2 = 0 + -1x2 Remove the zero: y2 = -1x2 Add '-1y2' to each side of the equation. y2 + -1y2 = -1x2 + -1y2 Combine like terms: y2 + -1y2 = 0 0 = -1x2 + -1y2 Simplifying 0 = -1x2 + -1y2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(y2 + x2)' equal to zero and attempt to solve: Simplifying y2 + x2 = 0 Reorder the terms: x2 + y2 = 0 Solving x2 + y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x2' to each side of the equation. x2 + -1x2 + y2 = 0 + -1x2 Combine like terms: x2 + -1x2 = 0 0 + y2 = 0 + -1x2 y2 = 0 + -1x2 Remove the zero: y2 = -1x2 Add '-1y2' to each side of the equation. y2 + -1y2 = -1x2 + -1y2 Combine like terms: y2 + -1y2 = 0 0 = -1x2 + -1y2 Simplifying 0 = -1x2 + -1y2 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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