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Simplifying (5y4 + 2x3y) * dx = (4xy3 + x4) * dy Reorder the terms: (2x3y + 5y4) * dx = (4xy3 + x4) * dy Reorder the terms for easier multiplication: dx(2x3y + 5y4) = (4xy3 + x4) * dy (2x3y * dx + 5y4 * dx) = (4xy3 + x4) * dy Reorder the terms: (5dxy4 + 2dx4y) = (4xy3 + x4) * dy (5dxy4 + 2dx4y) = (4xy3 + x4) * dy Reorder the terms for easier multiplication: 5dxy4 + 2dx4y = dy(4xy3 + x4) 5dxy4 + 2dx4y = (4xy3 * dy + x4 * dy) 5dxy4 + 2dx4y = (4dxy4 + dx4y) Solving 5dxy4 + 2dx4y = 4dxy4 + dx4y Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4dxy4' to each side of the equation. 5dxy4 + -4dxy4 + 2dx4y = 4dxy4 + -4dxy4 + dx4y Combine like terms: 5dxy4 + -4dxy4 = 1dxy4 1dxy4 + 2dx4y = 4dxy4 + -4dxy4 + dx4y Combine like terms: 4dxy4 + -4dxy4 = 0 1dxy4 + 2dx4y = 0 + dx4y 1dxy4 + 2dx4y = dx4y Add '-1dx4y' to each side of the equation. 1dxy4 + 2dx4y + -1dx4y = dx4y + -1dx4y Combine like terms: 2dx4y + -1dx4y = 1dx4y 1dxy4 + 1dx4y = dx4y + -1dx4y Combine like terms: dx4y + -1dx4y = 0 1dxy4 + 1dx4y = 0 Factor out the Greatest Common Factor (GCF), 'dxy'. dxy(y3 + x3) = 0Subproblem 1
Set the factor 'dxy' equal to zero and attempt to solve: Simplifying dxy = 0 Solving dxy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dxy = 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 '(y3 + x3)' equal to zero and attempt to solve: Simplifying y3 + x3 = 0 Reorder the terms: x3 + y3 = 0 Solving x3 + y3 = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x3' to each side of the equation. x3 + -1x3 + y3 = 0 + -1x3 Combine like terms: x3 + -1x3 = 0 0 + y3 = 0 + -1x3 y3 = 0 + -1x3 Remove the zero: y3 = -1x3 Add '-1y3' to each side of the equation. y3 + -1y3 = -1x3 + -1y3 Combine like terms: y3 + -1y3 = 0 0 = -1x3 + -1y3 Simplifying 0 = -1x3 + -1y3 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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