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Simplifying (x3 + -1x(y2)) * dx + -1(x2) * y * dy = 0 Multiply x * y2 (x3 + -1xy2) * dx + -1(x2) * y * dy = 0 Reorder the terms: (-1xy2 + x3) * dx + -1(x2) * y * dy = 0 Reorder the terms for easier multiplication: dx(-1xy2 + x3) + -1(x2) * y * dy = 0 (-1xy2 * dx + x3 * dx) + -1(x2) * y * dy = 0 (-1dx2y2 + dx4) + -1(x2) * y * dy = 0 Multiply x2 * y -1dx2y2 + dx4 + -1x2y * dy = 0 Multiply x2y * dy -1dx2y2 + dx4 + -1dx2y2 = 0 Reorder the terms: -1dx2y2 + -1dx2y2 + dx4 = 0 Combine like terms: -1dx2y2 + -1dx2y2 = -2dx2y2 -2dx2y2 + dx4 = 0 Solving -2dx2y2 + 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), 'dx2'. dx2(-2y2 + x2) = 0Subproblem 1
Set the factor 'dx2' equal to zero and attempt to solve: Simplifying dx2 = 0 Solving dx2 = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dx2 = 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 '(-2y2 + x2)' equal to zero and attempt to solve: Simplifying -2y2 + x2 = 0 Reorder the terms: x2 + -2y2 = 0 Solving x2 + -2y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x2' to each side of the equation. x2 + -1x2 + -2y2 = 0 + -1x2 Combine like terms: x2 + -1x2 = 0 0 + -2y2 = 0 + -1x2 -2y2 = 0 + -1x2 Remove the zero: -2y2 = -1x2 Add '2y2' to each side of the equation. -2y2 + 2y2 = -1x2 + 2y2 Combine like terms: -2y2 + 2y2 = 0 0 = -1x2 + 2y2 Simplifying 0 = -1x2 + 2y2 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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