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Simplifying (seny + -1ysenx) * dx + (cosx + xcosy + -1y) * dy = 0 Reorder the terms: (-1ensxy + ensy) * dx + (cosx + xcosy + -1y) * dy = 0 Reorder the terms for easier multiplication: dx(-1ensxy + ensy) + (cosx + xcosy + -1y) * dy = 0 (-1ensxy * dx + ensy * dx) + (cosx + xcosy + -1y) * dy = 0 Reorder the terms: (densxy + -1densx2y) + (cosx + xcosy + -1y) * dy = 0 (densxy + -1densx2y) + (cosx + xcosy + -1y) * dy = 0 Reorder the terms for easier multiplication: densxy + -1densx2y + dy(cosx + cosxy + -1y) = 0 densxy + -1densx2y + (cosx * dy + cosxy * dy + -1y * dy) = 0 densxy + -1densx2y + (cdosxy + cdosxy2 + -1dy2) = 0 Reorder the terms: cdosxy + cdosxy2 + densxy + -1densx2y + -1dy2 = 0 Solving cdosxy + cdosxy2 + densxy + -1densx2y + -1dy2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1densxy' to each side of the equation. cdosxy + cdosxy2 + densxy + -1densx2y + -1densxy + -1dy2 = 0 + -1densxy Reorder the terms: cdosxy + cdosxy2 + densxy + -1densxy + -1densx2y + -1dy2 = 0 + -1densxy Combine like terms: densxy + -1densxy = 0 cdosxy + cdosxy2 + 0 + -1densx2y + -1dy2 = 0 + -1densxy cdosxy + cdosxy2 + -1densx2y + -1dy2 = 0 + -1densxy Remove the zero: cdosxy + cdosxy2 + -1densx2y + -1dy2 = -1densxy Add 'densx2y' to each side of the equation. cdosxy + cdosxy2 + -1densx2y + densx2y + -1dy2 = -1densxy + densx2y Combine like terms: -1densx2y + densx2y = 0 cdosxy + cdosxy2 + 0 + -1dy2 = -1densxy + densx2y cdosxy + cdosxy2 + -1dy2 = -1densxy + densx2y Add 'dy2' to each side of the equation. cdosxy + cdosxy2 + -1dy2 + dy2 = -1densxy + densx2y + dy2 Combine like terms: -1dy2 + dy2 = 0 cdosxy + cdosxy2 + 0 = -1densxy + densx2y + dy2 cdosxy + cdosxy2 = -1densxy + densx2y + dy2 Reorder the terms: cdosxy + cdosxy2 + densxy + -1densx2y + -1dy2 = -1densxy + densxy + densx2y + -1densx2y + dy2 + -1dy2 Combine like terms: -1densxy + densxy = 0 cdosxy + cdosxy2 + densxy + -1densx2y + -1dy2 = 0 + densx2y + -1densx2y + dy2 + -1dy2 cdosxy + cdosxy2 + densxy + -1densx2y + -1dy2 = densx2y + -1densx2y + dy2 + -1dy2 Combine like terms: densx2y + -1densx2y = 0 cdosxy + cdosxy2 + densxy + -1densx2y + -1dy2 = 0 + dy2 + -1dy2 cdosxy + cdosxy2 + densxy + -1densx2y + -1dy2 = dy2 + -1dy2 Combine like terms: dy2 + -1dy2 = 0 cdosxy + cdosxy2 + densxy + -1densx2y + -1dy2 = 0 Factor out the Greatest Common Factor (GCF), 'dy'. dy(cosx + cosxy + ensx + -1ensx2 + -1y) = 0Subproblem 1
Set the factor 'dy' equal to zero and attempt to solve: Simplifying dy = 0 Solving dy = 0 Move all terms containing c to the left, all other terms to the right. Add '-1dy' to each side of the equation. dy + -1dy = 0 + -1dy Remove the zero: 0 = -1dy Simplifying 0 = -1dy 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 '(cosx + cosxy + ensx + -1ensx2 + -1y)' equal to zero and attempt to solve: Simplifying cosx + cosxy + ensx + -1ensx2 + -1y = 0 Solving cosx + cosxy + ensx + -1ensx2 + -1y = 0 Move all terms containing c to the left, all other terms to the right. Add '-1ensx' to each side of the equation. cosx + cosxy + ensx + -1ensx2 + -1ensx + -1y = 0 + -1ensx Reorder the terms: cosx + cosxy + ensx + -1ensx + -1ensx2 + -1y = 0 + -1ensx Combine like terms: ensx + -1ensx = 0 cosx + cosxy + 0 + -1ensx2 + -1y = 0 + -1ensx cosx + cosxy + -1ensx2 + -1y = 0 + -1ensx Remove the zero: cosx + cosxy + -1ensx2 + -1y = -1ensx Add 'ensx2' to each side of the equation. cosx + cosxy + -1ensx2 + ensx2 + -1y = -1ensx + ensx2 Combine like terms: -1ensx2 + ensx2 = 0 cosx + cosxy + 0 + -1y = -1ensx + ensx2 cosx + cosxy + -1y = -1ensx + ensx2 Add 'y' to each side of the equation. cosx + cosxy + -1y + y = -1ensx + ensx2 + y Combine like terms: -1y + y = 0 cosx + cosxy + 0 = -1ensx + ensx2 + y cosx + cosxy = -1ensx + ensx2 + y 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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