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Simplifying X(2y + -1) * dy = y(1 + -1x) * dx Reorder the terms: X(-1 + 2y) * dy = y(1 + -1x) * dx Reorder the terms for easier multiplication: X * dy(-1 + 2y) = y(1 + -1x) * dx Multiply X * dy dyX(-1 + 2y) = y(1 + -1x) * dx (-1 * dyX + 2y * dyX) = y(1 + -1x) * dx (-1dyX + 2dy2X) = y(1 + -1x) * dx Reorder the terms for easier multiplication: -1dyX + 2dy2X = y * dx(1 + -1x) Multiply y * dx -1dyX + 2dy2X = dxy(1 + -1x) -1dyX + 2dy2X = (1 * dxy + -1x * dxy) -1dyX + 2dy2X = (1dxy + -1dx2y) Solving -1dyX + 2dy2X = 1dxy + -1dx2y 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. -1dyX + -1dxy + 2dy2X = 1dxy + -1dxy + -1dx2y Reorder the terms: -1dxy + -1dyX + 2dy2X = 1dxy + -1dxy + -1dx2y Combine like terms: 1dxy + -1dxy = 0 -1dxy + -1dyX + 2dy2X = 0 + -1dx2y -1dxy + -1dyX + 2dy2X = -1dx2y Add 'dx2y' to each side of the equation. -1dxy + -1dyX + dx2y + 2dy2X = -1dx2y + dx2y Reorder the terms: -1dxy + dx2y + -1dyX + 2dy2X = -1dx2y + dx2y Combine like terms: -1dx2y + dx2y = 0 -1dxy + dx2y + -1dyX + 2dy2X = 0 Factor out the Greatest Common Factor (GCF), 'dy'. dy(-1x + x2 + -1X + 2yX) = 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 + -1X + 2yX)' equal to zero and attempt to solve: Simplifying -1x + x2 + -1X + 2yX = 0 Reorder the terms: -1X + -1x + x2 + 2yX = 0 Solving -1X + -1x + x2 + 2yX = 0 Move all terms containing d to the left, all other terms to the right. Add 'X' to each side of the equation. -1X + -1x + x2 + X + 2yX = 0 + X Reorder the terms: -1X + X + -1x + x2 + 2yX = 0 + X Combine like terms: -1X + X = 0 0 + -1x + x2 + 2yX = 0 + X -1x + x2 + 2yX = 0 + X Remove the zero: -1x + x2 + 2yX = X Add 'x' to each side of the equation. -1x + x2 + x + 2yX = X + x Reorder the terms: -1x + x + x2 + 2yX = X + x Combine like terms: -1x + x = 0 0 + x2 + 2yX = X + x x2 + 2yX = X + x Add '-1x2' to each side of the equation. x2 + -1x2 + 2yX = X + x + -1x2 Combine like terms: x2 + -1x2 = 0 0 + 2yX = X + x + -1x2 2yX = X + x + -1x2 Add '-2yX' to each side of the equation. 2yX + -2yX = X + x + -1x2 + -2yX Combine like terms: 2yX + -2yX = 0 0 = X + x + -1x2 + -2yX Simplifying 0 = X + x + -1x2 + -2yX 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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