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Simplifying (x2 + y2) * dx(x + -2y) * dy = 0 Reorder the terms for easier multiplication: dx * dy(x2 + y2)(x + -2y) = 0 Multiply dx * dy d2xy(x2 + y2)(x + -2y) = 0 Multiply (x2 + y2) * (x + -2y) d2xy(x2(x + -2y) + y2(x + -2y)) = 0 d2xy((x * x2 + -2y * x2) + y2(x + -2y)) = 0 Reorder the terms: d2xy((-2x2y + x3) + y2(x + -2y)) = 0 d2xy((-2x2y + x3) + y2(x + -2y)) = 0 d2xy(-2x2y + x3 + (x * y2 + -2y * y2)) = 0 d2xy(-2x2y + x3 + (xy2 + -2y3)) = 0 Reorder the terms: d2xy(xy2 + -2x2y + x3 + -2y3) = 0 d2xy(xy2 + -2x2y + x3 + -2y3) = 0 (xy2 * d2xy + -2x2y * d2xy + x3 * d2xy + -2y3 * d2xy) = 0 Reorder the terms: (-2d2xy4 + d2x2y3 + -2d2x3y2 + d2x4y) = 0 (-2d2xy4 + d2x2y3 + -2d2x3y2 + d2x4y) = 0 Solving -2d2xy4 + d2x2y3 + -2d2x3y2 + d2x4y = 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(-2y3 + xy2 + -2x2y + x3) = 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 '(-2y3 + xy2 + -2x2y + x3)' equal to zero and attempt to solve: Simplifying -2y3 + xy2 + -2x2y + x3 = 0 Reorder the terms: xy2 + -2x2y + x3 + -2y3 = 0 Solving xy2 + -2x2y + x3 + -2y3 = 0 Move all terms containing d to the left, all other terms to the right. Add '-1xy2' to each side of the equation. xy2 + -2x2y + x3 + -1xy2 + -2y3 = 0 + -1xy2 Reorder the terms: xy2 + -1xy2 + -2x2y + x3 + -2y3 = 0 + -1xy2 Combine like terms: xy2 + -1xy2 = 0 0 + -2x2y + x3 + -2y3 = 0 + -1xy2 -2x2y + x3 + -2y3 = 0 + -1xy2 Remove the zero: -2x2y + x3 + -2y3 = -1xy2 Add '2x2y' to each side of the equation. -2x2y + x3 + 2x2y + -2y3 = -1xy2 + 2x2y Reorder the terms: -2x2y + 2x2y + x3 + -2y3 = -1xy2 + 2x2y Combine like terms: -2x2y + 2x2y = 0 0 + x3 + -2y3 = -1xy2 + 2x2y x3 + -2y3 = -1xy2 + 2x2y Add '-1x3' to each side of the equation. x3 + -1x3 + -2y3 = -1xy2 + 2x2y + -1x3 Combine like terms: x3 + -1x3 = 0 0 + -2y3 = -1xy2 + 2x2y + -1x3 -2y3 = -1xy2 + 2x2y + -1x3 Add '2y3' to each side of the equation. -2y3 + 2y3 = -1xy2 + 2x2y + -1x3 + 2y3 Combine like terms: -2y3 + 2y3 = 0 0 = -1xy2 + 2x2y + -1x3 + 2y3 Simplifying 0 = -1xy2 + 2x2y + -1x3 + 2y3 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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