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Simplifying (1 + -1lnx) * dx + (1 + -1lny) * dy = 0 Reorder the terms for easier multiplication: dx(1 + -1lnx) + (1 + -1lny) * dy = 0 (1 * dx + -1lnx * dx) + (1 + -1lny) * dy = 0 Reorder the terms: (-1dlnx2 + 1dx) + (1 + -1lny) * dy = 0 (-1dlnx2 + 1dx) + (1 + -1lny) * dy = 0 Reorder the terms for easier multiplication: -1dlnx2 + 1dx + dy(1 + -1lny) = 0 -1dlnx2 + 1dx + (1 * dy + -1lny * dy) = 0 Reorder the terms: -1dlnx2 + 1dx + (-1dlny2 + 1dy) = 0 -1dlnx2 + 1dx + (-1dlny2 + 1dy) = 0 Reorder the terms: -1dlnx2 + -1dlny2 + 1dx + 1dy = 0 Solving -1dlnx2 + -1dlny2 + 1dx + 1dy = 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), 'd'. d(-1lnx2 + -1lny2 + x + y) = 0Subproblem 1
Set the factor 'd' equal to zero and attempt to solve: Simplifying d = 0 Solving d = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d = 0Subproblem 2
Set the factor '(-1lnx2 + -1lny2 + x + y)' equal to zero and attempt to solve: Simplifying -1lnx2 + -1lny2 + x + y = 0 Solving -1lnx2 + -1lny2 + x + y = 0 Move all terms containing d to the left, all other terms to the right. Add 'lnx2' to each side of the equation. -1lnx2 + -1lny2 + x + lnx2 + y = 0 + lnx2 Reorder the terms: -1lnx2 + lnx2 + -1lny2 + x + y = 0 + lnx2 Combine like terms: -1lnx2 + lnx2 = 0 0 + -1lny2 + x + y = 0 + lnx2 -1lny2 + x + y = 0 + lnx2 Remove the zero: -1lny2 + x + y = lnx2 Add 'lny2' to each side of the equation. -1lny2 + x + lny2 + y = lnx2 + lny2 Reorder the terms: -1lny2 + lny2 + x + y = lnx2 + lny2 Combine like terms: -1lny2 + lny2 = 0 0 + x + y = lnx2 + lny2 x + y = lnx2 + lny2 Add '-1x' to each side of the equation. x + -1x + y = lnx2 + lny2 + -1x Combine like terms: x + -1x = 0 0 + y = lnx2 + lny2 + -1x y = lnx2 + lny2 + -1x Add '-1y' to each side of the equation. y + -1y = lnx2 + lny2 + -1x + -1y Combine like terms: y + -1y = 0 0 = lnx2 + lny2 + -1x + -1y Simplifying 0 = lnx2 + lny2 + -1x + -1y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
d = {0}
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