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Simplifying x * y * dx + (x + y) * dy = 0 Multiply x * y xy * dx + (x + y) * dy = 0 Multiply xy * dx dx2y + (x + y) * dy = 0 Reorder the terms for easier multiplication: dx2y + dy(x + y) = 0 dx2y + (x * dy + y * dy) = 0 dx2y + (dxy + dy2) = 0 Reorder the terms: dxy + dx2y + dy2 = 0 Solving dxy + dx2y + dy2 = 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), 'dy'. dy(x + x2 + y) = 0Subproblem 1
Set the factor 'dy' equal to zero and attempt to solve: Simplifying dy = 0 Solving dy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dy = 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 '(x + x2 + y)' equal to zero and attempt to solve: Simplifying x + x2 + y = 0 Solving x + x2 + y = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x' to each side of the equation. x + x2 + -1x + y = 0 + -1x Reorder the terms: x + -1x + x2 + y = 0 + -1x Combine like terms: x + -1x = 0 0 + x2 + y = 0 + -1x x2 + y = 0 + -1x Remove the zero: x2 + y = -1x Add '-1x2' to each side of the equation. x2 + -1x2 + y = -1x + -1x2 Combine like terms: x2 + -1x2 = 0 0 + y = -1x + -1x2 y = -1x + -1x2 Add '-1y' to each side of the equation. y + -1y = -1x + -1x2 + -1y Combine like terms: y + -1y = 0 0 = -1x + -1x2 + -1y Simplifying 0 = -1x + -1x2 + -1y 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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