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Simplifying (x4 + y4) * dx + (3xy3) * dy = 0 Reorder the terms for easier multiplication: dx(x4 + y4) + (3xy3) * dy = 0 (x4 * dx + y4 * dx) + (3xy3) * dy = 0 Reorder the terms: (dxy4 + dx5) + (3xy3) * dy = 0 (dxy4 + dx5) + (3xy3) * dy = 0 Remove parenthesis around (3xy3) dxy4 + dx5 + 3xy3 * dy = 0 Multiply xy3 * dy dxy4 + dx5 + 3dxy4 = 0 Reorder the terms: dxy4 + 3dxy4 + dx5 = 0 Combine like terms: dxy4 + 3dxy4 = 4dxy4 4dxy4 + dx5 = 0 Solving 4dxy4 + 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(4y4 + x4) = 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 '(4y4 + x4)' equal to zero and attempt to solve: Simplifying 4y4 + x4 = 0 Reorder the terms: x4 + 4y4 = 0 Solving x4 + 4y4 = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x4' to each side of the equation. x4 + -1x4 + 4y4 = 0 + -1x4 Combine like terms: x4 + -1x4 = 0 0 + 4y4 = 0 + -1x4 4y4 = 0 + -1x4 Remove the zero: 4y4 = -1x4 Add '-4y4' to each side of the equation. 4y4 + -4y4 = -1x4 + -4y4 Combine like terms: 4y4 + -4y4 = 0 0 = -1x4 + -4y4 Simplifying 0 = -1x4 + -4y4 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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