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Simplifying (siny + -1sinx) * dx + ((1 + x) * cosy) * dy = 0 Reorder the terms: (-1insx + insy) * dx + ((1 + x) * cosy) * dy = 0 Reorder the terms for easier multiplication: dx(-1insx + insy) + ((1 + x) * cosy) * dy = 0 (-1insx * dx + insy * dx) + ((1 + x) * cosy) * dy = 0 Reorder the terms: (dinsxy + -1dinsx2) + ((1 + x) * cosy) * dy = 0 (dinsxy + -1dinsx2) + ((1 + x) * cosy) * dy = 0 Reorder the terms for easier multiplication: dinsxy + -1dinsx2 + (cosy(1 + x)) * dy = 0 dinsxy + -1dinsx2 + ((1 * cosy + x * cosy)) * dy = 0 Reorder the terms: dinsxy + -1dinsx2 + ((cosxy + 1cosy)) * dy = 0 dinsxy + -1dinsx2 + ((cosxy + 1cosy)) * dy = 0 Reorder the terms for easier multiplication: dinsxy + -1dinsx2 + dy(cosxy + 1cosy) = 0 dinsxy + -1dinsx2 + (cosxy * dy + 1cosy * dy) = 0 dinsxy + -1dinsx2 + (cdosxy2 + 1cdosy2) = 0 Reorder the terms: cdosxy2 + 1cdosy2 + dinsxy + -1dinsx2 = 0 Solving cdosxy2 + 1cdosy2 + dinsxy + -1dinsx2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1dinsxy' to each side of the equation. cdosxy2 + 1cdosy2 + dinsxy + -1dinsxy + -1dinsx2 = 0 + -1dinsxy Combine like terms: dinsxy + -1dinsxy = 0 cdosxy2 + 1cdosy2 + 0 + -1dinsx2 = 0 + -1dinsxy cdosxy2 + 1cdosy2 + -1dinsx2 = 0 + -1dinsxy Remove the zero: cdosxy2 + 1cdosy2 + -1dinsx2 = -1dinsxy Add 'dinsx2' to each side of the equation. cdosxy2 + 1cdosy2 + -1dinsx2 + dinsx2 = -1dinsxy + dinsx2 Combine like terms: -1dinsx2 + dinsx2 = 0 cdosxy2 + 1cdosy2 + 0 = -1dinsxy + dinsx2 cdosxy2 + 1cdosy2 = -1dinsxy + dinsx2 Reorder the terms: cdosxy2 + 1cdosy2 + dinsxy + -1dinsx2 = -1dinsxy + dinsxy + dinsx2 + -1dinsx2 Combine like terms: -1dinsxy + dinsxy = 0 cdosxy2 + 1cdosy2 + dinsxy + -1dinsx2 = 0 + dinsx2 + -1dinsx2 cdosxy2 + 1cdosy2 + dinsxy + -1dinsx2 = dinsx2 + -1dinsx2 Combine like terms: dinsx2 + -1dinsx2 = 0 cdosxy2 + 1cdosy2 + dinsxy + -1dinsx2 = 0 Factor out the Greatest Common Factor (GCF), 'ds'. ds(coxy2 + coy2 + inxy + -1inx2) = 0Subproblem 1
Set the factor 'ds' equal to zero and attempt to solve: Simplifying ds = 0 Solving ds = 0 Move all terms containing c to the left, all other terms to the right. Add '-1ds' to each side of the equation. ds + -1ds = 0 + -1ds Remove the zero: 0 = -1ds Simplifying 0 = -1ds 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 '(coxy2 + coy2 + inxy + -1inx2)' equal to zero and attempt to solve: Simplifying coxy2 + coy2 + inxy + -1inx2 = 0 Solving coxy2 + coy2 + inxy + -1inx2 = 0 Move all terms containing c to the left, all other terms to the right. Add '-1inxy' to each side of the equation. coxy2 + coy2 + inxy + -1inxy + -1inx2 = 0 + -1inxy Combine like terms: inxy + -1inxy = 0 coxy2 + coy2 + 0 + -1inx2 = 0 + -1inxy coxy2 + coy2 + -1inx2 = 0 + -1inxy Remove the zero: coxy2 + coy2 + -1inx2 = -1inxy Add 'inx2' to each side of the equation. coxy2 + coy2 + -1inx2 + inx2 = -1inxy + inx2 Combine like terms: -1inx2 + inx2 = 0 coxy2 + coy2 + 0 = -1inxy + inx2 coxy2 + coy2 = -1inxy + inx2 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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