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Simplifying ydx = (3x + y3 + -1y2) * dy Reorder the terms: dxy = (3x + -1y2 + y3) * dy Reorder the terms for easier multiplication: dxy = dy(3x + -1y2 + y3) dxy = (3x * dy + -1y2 * dy + y3 * dy) dxy = (3dxy + -1dy3 + dy4) Solving dxy = 3dxy + -1dy3 + dy4 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3dxy' to each side of the equation. dxy + -3dxy = 3dxy + -1dy3 + -3dxy + dy4 Combine like terms: dxy + -3dxy = -2dxy -2dxy = 3dxy + -1dy3 + -3dxy + dy4 Reorder the terms: -2dxy = 3dxy + -3dxy + -1dy3 + dy4 Combine like terms: 3dxy + -3dxy = 0 -2dxy = 0 + -1dy3 + dy4 -2dxy = -1dy3 + dy4 Add 'dy3' to each side of the equation. -2dxy + dy3 = -1dy3 + dy3 + dy4 Combine like terms: -1dy3 + dy3 = 0 -2dxy + dy3 = 0 + dy4 -2dxy + dy3 = dy4 Add '-1dy4' to each side of the equation. -2dxy + dy3 + -1dy4 = dy4 + -1dy4 Combine like terms: dy4 + -1dy4 = 0 -2dxy + dy3 + -1dy4 = 0 Factor out the Greatest Common Factor (GCF), 'dy'. dy(-2x + y2 + -1y3) = 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 '(-2x + y2 + -1y3)' equal to zero and attempt to solve: Simplifying -2x + y2 + -1y3 = 0 Solving -2x + y2 + -1y3 = 0 Move all terms containing d to the left, all other terms to the right. Add '2x' to each side of the equation. -2x + y2 + 2x + -1y3 = 0 + 2x Reorder the terms: -2x + 2x + y2 + -1y3 = 0 + 2x Combine like terms: -2x + 2x = 0 0 + y2 + -1y3 = 0 + 2x y2 + -1y3 = 0 + 2x Remove the zero: y2 + -1y3 = 2x Add '-1y2' to each side of the equation. y2 + -1y2 + -1y3 = 2x + -1y2 Combine like terms: y2 + -1y2 = 0 0 + -1y3 = 2x + -1y2 -1y3 = 2x + -1y2 Add 'y3' to each side of the equation. -1y3 + y3 = 2x + -1y2 + y3 Combine like terms: -1y3 + y3 = 0 0 = 2x + -1y2 + y3 Simplifying 0 = 2x + -1y2 + y3 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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