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Simplifying y2dx = (x3 + -1xy) * dy Reorder the terms: dxy2 = (-1xy + x3) * dy Reorder the terms for easier multiplication: dxy2 = dy(-1xy + x3) dxy2 = (-1xy * dy + x3 * dy) dxy2 = (-1dxy2 + dx3y) Solving dxy2 = -1dxy2 + dx3y Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add 'dxy2' to each side of the equation. dxy2 + dxy2 = -1dxy2 + dxy2 + dx3y Combine like terms: dxy2 + dxy2 = 2dxy2 2dxy2 = -1dxy2 + dxy2 + dx3y Combine like terms: -1dxy2 + dxy2 = 0 2dxy2 = 0 + dx3y 2dxy2 = dx3y Add '-1dx3y' to each side of the equation. 2dxy2 + -1dx3y = dx3y + -1dx3y Combine like terms: dx3y + -1dx3y = 0 2dxy2 + -1dx3y = 0 Factor out the Greatest Common Factor (GCF), 'dxy'. dxy(2y + -1x2) = 0Subproblem 1
Set the factor 'dxy' equal to zero and attempt to solve: Simplifying dxy = 0 Solving dxy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dxy = 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 '(2y + -1x2)' equal to zero and attempt to solve: Simplifying 2y + -1x2 = 0 Reorder the terms: -1x2 + 2y = 0 Solving -1x2 + 2y = 0 Move all terms containing d to the left, all other terms to the right. Add 'x2' to each side of the equation. -1x2 + x2 + 2y = 0 + x2 Combine like terms: -1x2 + x2 = 0 0 + 2y = 0 + x2 2y = 0 + x2 Remove the zero: 2y = x2 Add '-2y' to each side of the equation. 2y + -2y = x2 + -2y Combine like terms: 2y + -2y = 0 0 = x2 + -2y Simplifying 0 = x2 + -2y 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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