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Simplifying (1 + x2) * dy = (1 + y2) * dy Reorder the terms for easier multiplication: dy(1 + x2) = (1 + y2) * dy (1 * dy + x2 * dy) = (1 + y2) * dy Reorder the terms: (dx2y + 1dy) = (1 + y2) * dy (dx2y + 1dy) = (1 + y2) * dy Reorder the terms for easier multiplication: dx2y + 1dy = dy(1 + y2) dx2y + 1dy = (1 * dy + y2 * dy) dx2y + 1dy = (1dy + dy3) Add '-1dy' to each side of the equation. dx2y + 1dy + -1dy = 1dy + -1dy + dy3 Combine like terms: 1dy + -1dy = 0 dx2y + 0 = 1dy + -1dy + dy3 dx2y = 1dy + -1dy + dy3 Combine like terms: 1dy + -1dy = 0 dx2y = 0 + dy3 dx2y = dy3 Solving dx2y = dy3 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1dy3' to each side of the equation. dx2y + -1dy3 = dy3 + -1dy3 Combine like terms: dy3 + -1dy3 = 0 dx2y + -1dy3 = 0 Factor out the Greatest Common Factor (GCF), 'dy'. dy(x2 + -1y2) = 0 Factor a difference between two squares. dy((x + y)(x + -1y)) = 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 Solving x + 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 + -1x + y = 0 + -1x Combine like terms: x + -1x = 0 0 + y = 0 + -1x y = 0 + -1x Remove the zero: y = -1x Add '-1y' to each side of the equation. y + -1y = -1x + -1y Combine like terms: y + -1y = 0 0 = -1x + -1y Simplifying 0 = -1x + -1y 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 '(x + -1y)' equal to zero and attempt to solve: Simplifying x + -1y = 0 Solving x + -1y = 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 + -1y = 0 + -1x Combine like terms: x + -1x = 0 0 + -1y = 0 + -1x -1y = 0 + -1x Remove the zero: -1y = -1x Add 'y' to each side of the equation. -1y + y = -1x + y Combine like terms: -1y + y = 0 0 = -1x + y Simplifying 0 = -1x + y 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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