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Simplifying (xy) * dx = (x + -2) * dy Multiply xy * dx dx2y = (x + -2) * dy Reorder the terms: dx2y = (-2 + x) * dy Reorder the terms for easier multiplication: dx2y = dy(-2 + x) dx2y = (-2 * dy + x * dy) Reorder the terms: dx2y = (dxy + -2dy) dx2y = (dxy + -2dy) Solving dx2y = dxy + -2dy Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1dxy' to each side of the equation. -1dxy + dx2y = dxy + -1dxy + -2dy Combine like terms: dxy + -1dxy = 0 -1dxy + dx2y = 0 + -2dy -1dxy + dx2y = -2dy Add '2dy' to each side of the equation. -1dxy + dx2y + 2dy = -2dy + 2dy Combine like terms: -2dy + 2dy = 0 -1dxy + dx2y + 2dy = 0 Factor out the Greatest Common Factor (GCF), 'dy'. dy(-1x + x2 + 2) = 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 '(-1x + x2 + 2)' equal to zero and attempt to solve: Simplifying -1x + x2 + 2 = 0 Reorder the terms: 2 + -1x + x2 = 0 Solving 2 + -1x + x2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -1x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + -1x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x + x2 = 0 + -2 -1x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1x + x2 = -2 Add 'x' to each side of the equation. -1x + x + x2 = -2 + x Combine like terms: -1x + x = 0 0 + x2 = -2 + x x2 = -2 + x Add '-1x2' to each side of the equation. x2 + -1x2 = -2 + x + -1x2 Combine like terms: x2 + -1x2 = 0 0 = -2 + x + -1x2 Simplifying 0 = -2 + x + -1x2 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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