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Simplifying (x3 + -1y3) * dx + 3(xy2) * dy = 0 Reorder the terms for easier multiplication: dx(x3 + -1y3) + 3(xy2) * dy = 0 (x3 * dx + -1y3 * dx) + 3(xy2) * dy = 0 Reorder the terms: (-1dxy3 + dx4) + 3(xy2) * dy = 0 (-1dxy3 + dx4) + 3(xy2) * dy = 0 Multiply xy2 * dy -1dxy3 + dx4 + 3dxy3 = 0 Reorder the terms: -1dxy3 + 3dxy3 + dx4 = 0 Combine like terms: -1dxy3 + 3dxy3 = 2dxy3 2dxy3 + dx4 = 0 Solving 2dxy3 + dx4 = 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(2y3 + x3) = 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 '(2y3 + x3)' equal to zero and attempt to solve: Simplifying 2y3 + x3 = 0 Reorder the terms: x3 + 2y3 = 0 Solving x3 + 2y3 = 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 + 2y3 = 0 + -1x3 Combine like terms: x3 + -1x3 = 0 0 + 2y3 = 0 + -1x3 2y3 = 0 + -1x3 Remove the zero: 2y3 = -1x3 Add '-2y3' to each side of the equation. 2y3 + -2y3 = -1x3 + -2y3 Combine like terms: 2y3 + -2y3 = 0 0 = -1x3 + -2y3 Simplifying 0 = -1x3 + -2y3 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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