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Simplifying (Y2 + -3x2) * dy + (2xy) * dx = 0 Reorder the terms for easier multiplication: dy(Y2 + -3x2) + (2xy) * dx = 0 (Y2 * dy + -3x2 * dy) + (2xy) * dx = 0 Reorder the terms: (-3dx2y + dyY2) + (2xy) * dx = 0 (-3dx2y + dyY2) + (2xy) * dx = 0 Remove parenthesis around (2xy) -3dx2y + dyY2 + 2xy * dx = 0 Multiply xy * dx -3dx2y + dyY2 + 2dx2y = 0 Reorder the terms: -3dx2y + 2dx2y + dyY2 = 0 Combine like terms: -3dx2y + 2dx2y = -1dx2y -1dx2y + dyY2 = 0 Solving -1dx2y + dyY2 = 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(-1x2 + Y2) = 0 Factor a difference between two squares. dy((x + Y)(-1x + 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 + Y)' equal to zero and attempt to solve: Simplifying x + Y = 0 Reorder the terms: Y + x = 0 Solving Y + x = 0 Move all terms containing d to the left, all other terms to the right. Add '-1Y' to each side of the equation. Y + -1Y + x = 0 + -1Y Combine like terms: Y + -1Y = 0 0 + x = 0 + -1Y x = 0 + -1Y Remove the zero: x = -1Y Add '-1x' to each side of the equation. x + -1x = -1Y + -1x Combine like terms: x + -1x = 0 0 = -1Y + -1x Simplifying 0 = -1Y + -1x 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 '(-1x + Y)' equal to zero and attempt to solve: Simplifying -1x + Y = 0 Reorder the terms: Y + -1x = 0 Solving Y + -1x = 0 Move all terms containing d to the left, all other terms to the right. Add '-1Y' to each side of the equation. Y + -1Y + -1x = 0 + -1Y Combine like terms: Y + -1Y = 0 0 + -1x = 0 + -1Y -1x = 0 + -1Y Remove the zero: -1x = -1Y Add 'x' to each side of the equation. -1x + x = -1Y + x Combine like terms: -1x + x = 0 0 = -1Y + x Simplifying 0 = -1Y + x 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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