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Simplifying (y + -1x) * dx(x + y) * dy = 0 Reorder the terms: (-1x + y) * dx(x + y) * dy = 0 Reorder the terms for easier multiplication: dx * dy(-1x + y)(x + y) = 0 Multiply dx * dy d2xy(-1x + y)(x + y) = 0 Multiply (-1x + y) * (x + y) d2xy(-1x * (x + y) + y(x + y)) = 0 d2xy((x * -1x + y * -1x) + y(x + y)) = 0 Reorder the terms: d2xy((-1xy + -1x2) + y(x + y)) = 0 d2xy((-1xy + -1x2) + y(x + y)) = 0 d2xy(-1xy + -1x2 + (x * y + y * y)) = 0 d2xy(-1xy + -1x2 + (xy + y2)) = 0 Reorder the terms: d2xy(-1xy + xy + -1x2 + y2) = 0 Combine like terms: -1xy + xy = 0 d2xy(0 + -1x2 + y2) = 0 d2xy(-1x2 + y2) = 0 (-1x2 * d2xy + y2 * d2xy) = 0 Reorder the terms: (d2xy3 + -1d2x3y) = 0 (d2xy3 + -1d2x3y) = 0 Solving d2xy3 + -1d2x3y = 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(y2 + -1x2) = 0 Factor a difference between two squares. d2xy((y + x)(y + -1x)) = 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 '(y + x)' equal to zero and attempt to solve: Simplifying y + x = 0 Reorder the terms: 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 '(y + -1x)' equal to zero and attempt to solve: Simplifying y + -1x = 0 Reorder the terms: -1x + y = 0 Solving -1x + y = 0 Move all terms containing d to the left, all other terms to the right. Add 'x' to each side of the equation. -1x + x + y = 0 + x Combine like terms: -1x + x = 0 0 + y = 0 + x y = 0 + x Remove the zero: y = x Add '-1y' to each side of the equation. y + -1y = x + -1y Combine like terms: y + -1y = 0 0 = x + -1y Simplifying 0 = x + -1y 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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