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Simplifying (x2 + -1y2) * dx + -1(3xy) * dy = 0 Reorder the terms for easier multiplication: dx(x2 + -1y2) + -1(3xy) * dy = 0 (x2 * dx + -1y2 * dx) + -1(3xy) * dy = 0 Reorder the terms: (-1dxy2 + dx3) + -1(3xy) * dy = 0 (-1dxy2 + dx3) + -1(3xy) * dy = 0 Remove parenthesis around (3xy) -1dxy2 + dx3 + -1 * 3xy * dy = 0 Multiply -1 * 3 -1dxy2 + dx3 + -3xy * dy = 0 Multiply xy * dy -1dxy2 + dx3 + -3dxy2 = 0 Reorder the terms: -1dxy2 + -3dxy2 + dx3 = 0 Combine like terms: -1dxy2 + -3dxy2 = -4dxy2 -4dxy2 + dx3 = 0 Solving -4dxy2 + dx3 = 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(-4y2 + x2) = 0 Factor a difference between two squares. dx((2y + x)(-2y + x)) = 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 '(2y + x)' equal to zero and attempt to solve: Simplifying 2y + x = 0 Reorder the terms: x + 2y = 0 Solving x + 2y = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x + 2y = 0 + -1x Combine like terms: x + -1x = 0 0 + 2y = 0 + -1x 2y = 0 + -1x Remove the zero: 2y = -1x Add '-2y' to each side of the equation. 2y + -2y = -1x + -2y Combine like terms: 2y + -2y = 0 0 = -1x + -2y Simplifying 0 = -1x + -2y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-2y + x)' equal to zero and attempt to solve: Simplifying -2y + x = 0 Reorder the terms: x + -2y = 0 Solving x + -2y = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x + -2y = 0 + -1x Combine like terms: x + -1x = 0 0 + -2y = 0 + -1x -2y = 0 + -1x Remove the zero: -2y = -1x Add '2y' to each side of the equation. -2y + 2y = -1x + 2y Combine like terms: -2y + 2y = 0 0 = -1x + 2y Simplifying 0 = -1x + 2y 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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