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Simplifying 2y(x + 1) * dy = xdy Reorder the terms: 2y(1 + x) * dy = xdy Reorder the terms for easier multiplication: 2y * dy(1 + x) = xdy Multiply y * dy 2dy2(1 + x) = xdy (1 * 2dy2 + x * 2dy2) = xdy Reorder the terms: (2dxy2 + 2dy2) = xdy (2dxy2 + 2dy2) = xdy Solving 2dxy2 + 2dy2 = dxy Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1dxy' to each side of the equation. 2dxy2 + -1dxy + 2dy2 = dxy + -1dxy Reorder the terms: -1dxy + 2dxy2 + 2dy2 = dxy + -1dxy Combine like terms: dxy + -1dxy = 0 -1dxy + 2dxy2 + 2dy2 = 0 Factor out the Greatest Common Factor (GCF), 'dy'. dy(-1x + 2xy + 2y) = 0Subproblem 1
Set the factor 'dy' equal to zero and attempt to solve: Simplifying dy = 0 Solving dy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dy = 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 '(-1x + 2xy + 2y)' equal to zero and attempt to solve: Simplifying -1x + 2xy + 2y = 0 Solving -1x + 2xy + 2y = 0 Move all terms containing d to the left, all other terms to the right. Add 'x' to each side of the equation. -1x + 2xy + x + 2y = 0 + x Reorder the terms: -1x + x + 2xy + 2y = 0 + x Combine like terms: -1x + x = 0 0 + 2xy + 2y = 0 + x 2xy + 2y = 0 + x Remove the zero: 2xy + 2y = x Add '-2xy' to each side of the equation. 2xy + -2xy + 2y = x + -2xy Combine like terms: 2xy + -2xy = 0 0 + 2y = x + -2xy 2y = x + -2xy Add '-2y' to each side of the equation. 2y + -2y = x + -2xy + -2y Combine like terms: 2y + -2y = 0 0 = x + -2xy + -2y Simplifying 0 = x + -2xy + -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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