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Simplifying (x3 + y4) * dx + 8x * y3 * dy = 0 Reorder the terms for easier multiplication: dx(x3 + y4) + 8x * y3 * dy = 0 (x3 * dx + y4 * dx) + 8x * y3 * dy = 0 Reorder the terms: (dxy4 + dx4) + 8x * y3 * dy = 0 (dxy4 + dx4) + 8x * y3 * dy = 0 Multiply x * y3 dxy4 + dx4 + 8xy3 * dy = 0 Multiply xy3 * dy dxy4 + dx4 + 8dxy4 = 0 Reorder the terms: dxy4 + 8dxy4 + dx4 = 0 Combine like terms: dxy4 + 8dxy4 = 9dxy4 9dxy4 + dx4 = 0 Solving 9dxy4 + 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(9y4 + 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 '(9y4 + x3)' equal to zero and attempt to solve: Simplifying 9y4 + x3 = 0 Reorder the terms: x3 + 9y4 = 0 Solving x3 + 9y4 = 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 + 9y4 = 0 + -1x3 Combine like terms: x3 + -1x3 = 0 0 + 9y4 = 0 + -1x3 9y4 = 0 + -1x3 Remove the zero: 9y4 = -1x3 Add '-9y4' to each side of the equation. 9y4 + -9y4 = -1x3 + -9y4 Combine like terms: 9y4 + -9y4 = 0 0 = -1x3 + -9y4 Simplifying 0 = -1x3 + -9y4 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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