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