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Simplifying (siny + -1ysinx) * dx + (cosx + xcosy) * dy = 0 Reorder the terms: (-1insxy + insy) * dx + (cosx + xcosy) * dy = 0 Reorder the terms for easier multiplication: dx(-1insxy + insy) + (cosx + xcosy) * dy = 0 (-1insxy * dx + insy * dx) + (cosx + xcosy) * dy = 0 Reorder the terms: (dinsxy + -1dinsx2y) + (cosx + xcosy) * dy = 0 (dinsxy + -1dinsx2y) + (cosx + xcosy) * dy = 0 Reorder the terms for easier multiplication: dinsxy + -1dinsx2y + dy(cosx + cosxy) = 0 dinsxy + -1dinsx2y + (cosx * dy + cosxy * dy) = 0 dinsxy + -1dinsx2y + (cdosxy + cdosxy2) = 0 Reorder the terms: cdosxy + cdosxy2 + dinsxy + -1dinsx2y = 0 Solving cdosxy + cdosxy2 + dinsxy + -1dinsx2y = 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. cdosxy + cdosxy2 + dinsxy + -1dinsxy + -1dinsx2y = 0 + -1dinsxy Combine like terms: dinsxy + -1dinsxy = 0 cdosxy + cdosxy2 + 0 + -1dinsx2y = 0 + -1dinsxy cdosxy + cdosxy2 + -1dinsx2y = 0 + -1dinsxy Remove the zero: cdosxy + cdosxy2 + -1dinsx2y = -1dinsxy Add 'dinsx2y' to each side of the equation. cdosxy + cdosxy2 + -1dinsx2y + dinsx2y = -1dinsxy + dinsx2y Combine like terms: -1dinsx2y + dinsx2y = 0 cdosxy + cdosxy2 + 0 = -1dinsxy + dinsx2y cdosxy + cdosxy2 = -1dinsxy + dinsx2y Reorder the terms: cdosxy + cdosxy2 + dinsxy + -1dinsx2y = -1dinsxy + dinsxy + dinsx2y + -1dinsx2y Combine like terms: -1dinsxy + dinsxy = 0 cdosxy + cdosxy2 + dinsxy + -1dinsx2y = 0 + dinsx2y + -1dinsx2y cdosxy + cdosxy2 + dinsxy + -1dinsx2y = dinsx2y + -1dinsx2y Combine like terms: dinsx2y + -1dinsx2y = 0 cdosxy + cdosxy2 + dinsxy + -1dinsx2y = 0 Factor out the Greatest Common Factor (GCF), 'dsxy'. dsxy(co + coy + in + -1inx) = 0Subproblem 1
Set the factor 'dsxy' equal to zero and attempt to solve: Simplifying dsxy = 0 Solving dsxy = 0 Move all terms containing c to the left, all other terms to the right. Add '-1dsxy' to each side of the equation. dsxy + -1dsxy = 0 + -1dsxy Remove the zero: 0 = -1dsxy Simplifying 0 = -1dsxy 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 '(co + coy + in + -1inx)' equal to zero and attempt to solve: Simplifying co + coy + in + -1inx = 0 Solving co + coy + in + -1inx = 0 Move all terms containing c to the left, all other terms to the right. Add '-1in' to each side of the equation. co + coy + in + -1in + -1inx = 0 + -1in Combine like terms: in + -1in = 0 co + coy + 0 + -1inx = 0 + -1in co + coy + -1inx = 0 + -1in Remove the zero: co + coy + -1inx = -1in Add 'inx' to each side of the equation. co + coy + -1inx + inx = -1in + inx Combine like terms: -1inx + inx = 0 co + coy + 0 = -1in + inx co + coy = -1in + inx 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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