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Simplifying (X + y) * dx(x + y + -2) * dy = 0 Reorder the terms: (X + y) * dx(-2 + x + y) * dy = 0 Reorder the terms for easier multiplication: dx * dy(X + y)(-2 + x + y) = 0 Multiply dx * dy d2xy(X + y)(-2 + x + y) = 0 Multiply (X + y) * (-2 + x + y) d2xy(X(-2 + x + y) + y(-2 + x + y)) = 0 d2xy((-2 * X + x * X + y * X) + y(-2 + x + y)) = 0 d2xy((-2X + xX + yX) + y(-2 + x + y)) = 0 d2xy(-2X + xX + yX + (-2 * y + x * y + y * y)) = 0 Reorder the terms: d2xy(-2X + xX + yX + (xy + -2y + y2)) = 0 d2xy(-2X + xX + yX + (xy + -2y + y2)) = 0 Reorder the terms: d2xy(-2X + xX + xy + -2y + yX + y2) = 0 d2xy(-2X + xX + xy + -2y + yX + y2) = 0 (-2X * d2xy + xX * d2xy + xy * d2xy + -2y * d2xy + yX * d2xy + y2 * d2xy) = 0 Reorder the terms: (-2d2xyX + -2d2xy2 + d2xy2X + d2xy3 + d2x2yX + d2x2y2) = 0 (-2d2xyX + -2d2xy2 + d2xy2X + d2xy3 + d2x2yX + d2x2y2) = 0 Solving -2d2xyX + -2d2xy2 + d2xy2X + d2xy3 + d2x2yX + d2x2y2 = 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), 'd2xy'. d2xy(-2X + -2y + yX + y2 + xX + xy) = 0Subproblem 1
Set the factor 'd2xy' equal to zero and attempt to solve: Simplifying d2xy = 0 Solving d2xy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d2xy = 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 '(-2X + -2y + yX + y2 + xX + xy)' equal to zero and attempt to solve: Simplifying -2X + -2y + yX + y2 + xX + xy = 0 Reorder the terms: -2X + xX + xy + -2y + yX + y2 = 0 Solving -2X + xX + xy + -2y + yX + y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '2X' to each side of the equation. -2X + xX + xy + -2y + yX + 2X + y2 = 0 + 2X Reorder the terms: -2X + 2X + xX + xy + -2y + yX + y2 = 0 + 2X Combine like terms: -2X + 2X = 0 0 + xX + xy + -2y + yX + y2 = 0 + 2X xX + xy + -2y + yX + y2 = 0 + 2X Remove the zero: xX + xy + -2y + yX + y2 = 2X Add '-1xX' to each side of the equation. xX + xy + -2y + yX + -1xX + y2 = 2X + -1xX Reorder the terms: xX + -1xX + xy + -2y + yX + y2 = 2X + -1xX Combine like terms: xX + -1xX = 0 0 + xy + -2y + yX + y2 = 2X + -1xX xy + -2y + yX + y2 = 2X + -1xX Add '-1xy' to each side of the equation. xy + -2y + yX + -1xy + y2 = 2X + -1xX + -1xy Reorder the terms: xy + -1xy + -2y + yX + y2 = 2X + -1xX + -1xy Combine like terms: xy + -1xy = 0 0 + -2y + yX + y2 = 2X + -1xX + -1xy -2y + yX + y2 = 2X + -1xX + -1xy Add '2y' to each side of the equation. -2y + yX + 2y + y2 = 2X + -1xX + -1xy + 2y Reorder the terms: -2y + 2y + yX + y2 = 2X + -1xX + -1xy + 2y Combine like terms: -2y + 2y = 0 0 + yX + y2 = 2X + -1xX + -1xy + 2y yX + y2 = 2X + -1xX + -1xy + 2y Add '-1yX' to each side of the equation. yX + -1yX + y2 = 2X + -1xX + -1xy + 2y + -1yX Combine like terms: yX + -1yX = 0 0 + y2 = 2X + -1xX + -1xy + 2y + -1yX y2 = 2X + -1xX + -1xy + 2y + -1yX Add '-1y2' to each side of the equation. y2 + -1y2 = 2X + -1xX + -1xy + 2y + -1yX + -1y2 Combine like terms: y2 + -1y2 = 0 0 = 2X + -1xX + -1xy + 2y + -1yX + -1y2 Simplifying 0 = 2X + -1xX + -1xy + 2y + -1yX + -1y2 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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