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Simplifying Y2dx = (xy + x2) * dy Reorder the terms for easier multiplication: dxY2 = dy(xy + x2) dxY2 = (xy * dy + x2 * dy) dxY2 = (dxy2 + dx2y) Solving dxY2 = dxy2 + dx2y Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1dxy2' to each side of the equation. dxY2 + -1dxy2 = dxy2 + -1dxy2 + dx2y Combine like terms: dxy2 + -1dxy2 = 0 dxY2 + -1dxy2 = 0 + dx2y dxY2 + -1dxy2 = dx2y Add '-1dx2y' to each side of the equation. dxY2 + -1dxy2 + -1dx2y = dx2y + -1dx2y Combine like terms: dx2y + -1dx2y = 0 dxY2 + -1dxy2 + -1dx2y = 0 Factor out the Greatest Common Factor (GCF), 'dx'. dx(Y2 + -1y2 + -1xy) = 0Subproblem 1
Set the factor 'dx' equal to zero and attempt to solve: Simplifying dx = 0 Solving dx = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dx = 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 '(Y2 + -1y2 + -1xy)' equal to zero and attempt to solve: Simplifying Y2 + -1y2 + -1xy = 0 Reorder the terms: Y2 + -1xy + -1y2 = 0 Solving Y2 + -1xy + -1y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-1Y2' to each side of the equation. Y2 + -1xy + -1Y2 + -1y2 = 0 + -1Y2 Reorder the terms: Y2 + -1Y2 + -1xy + -1y2 = 0 + -1Y2 Combine like terms: Y2 + -1Y2 = 0 0 + -1xy + -1y2 = 0 + -1Y2 -1xy + -1y2 = 0 + -1Y2 Remove the zero: -1xy + -1y2 = -1Y2 Add 'xy' to each side of the equation. -1xy + xy + -1y2 = -1Y2 + xy Combine like terms: -1xy + xy = 0 0 + -1y2 = -1Y2 + xy -1y2 = -1Y2 + xy Add 'y2' to each side of the equation. -1y2 + y2 = -1Y2 + xy + y2 Combine like terms: -1y2 + y2 = 0 0 = -1Y2 + xy + y2 Simplifying 0 = -1Y2 + xy + y2 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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