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Simplifying xDy + y = xy3 Solving xyD + y = xy3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1xy3' to each side of the equation. xyD + -1xy3 + y = xy3 + -1xy3 Combine like terms: xy3 + -1xy3 = 0 xyD + -1xy3 + y = 0 Add '-1y' to each side of the equation. xyD + -1xy3 + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 xyD + -1xy3 + 0 = 0 + -1y xyD + -1xy3 = 0 + -1y Remove the zero: xyD + -1xy3 = -1y Combine like terms: -1y + y = 0 xyD + -1xy3 + y = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(xD + -1xy2 + 1) = 0Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. y + -1y = 0 + -1y Remove the zero: 0 = -1y Simplifying 0 = -1y 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 '(xD + -1xy2 + 1)' equal to zero and attempt to solve: Simplifying xD + -1xy2 + 1 = 0 Reorder the terms: 1 + xD + -1xy2 = 0 Solving 1 + xD + -1xy2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + xD + -1 + -1xy2 = 0 + -1 Reorder the terms: 1 + -1 + xD + -1xy2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + xD + -1xy2 = 0 + -1 xD + -1xy2 = 0 + -1 Combine like terms: 0 + -1 = -1 xD + -1xy2 = -1 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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