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Simplifying (x + senx + seny) * dx + (cosy) * dy = 0 Reorder the terms: (ensx + ensy + x) * dx + (cosy) * dy = 0 Reorder the terms for easier multiplication: dx(ensx + ensy + x) + (cosy) * dy = 0 (ensx * dx + ensy * dx + x * dx) + (cosy) * dy = 0 Reorder the terms: (densxy + densx2 + dx2) + (cosy) * dy = 0 (densxy + densx2 + dx2) + (cosy) * dy = 0 Multiply cosy * dy densxy + densx2 + dx2 + cdosy2 = 0 Reorder the terms: cdosy2 + densxy + densx2 + dx2 = 0 Solving cdosy2 + densxy + densx2 + dx2 = 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. cdosy2 + densxy + densx2 + -1densxy + dx2 = 0 + -1densxy Reorder the terms: cdosy2 + densxy + -1densxy + densx2 + dx2 = 0 + -1densxy Combine like terms: densxy + -1densxy = 0 cdosy2 + 0 + densx2 + dx2 = 0 + -1densxy cdosy2 + densx2 + dx2 = 0 + -1densxy Remove the zero: cdosy2 + densx2 + dx2 = -1densxy Add '-1densx2' to each side of the equation. cdosy2 + densx2 + -1densx2 + dx2 = -1densxy + -1densx2 Combine like terms: densx2 + -1densx2 = 0 cdosy2 + 0 + dx2 = -1densxy + -1densx2 cdosy2 + dx2 = -1densxy + -1densx2 Add '-1dx2' to each side of the equation. cdosy2 + dx2 + -1dx2 = -1densxy + -1densx2 + -1dx2 Combine like terms: dx2 + -1dx2 = 0 cdosy2 + 0 = -1densxy + -1densx2 + -1dx2 cdosy2 = -1densxy + -1densx2 + -1dx2 Divide each side by 'dosy2'. c = -1eno-1xy-1 + -1eno-1x2y-2 + -1o-1s-1x2y-2 Simplifying c = -1eno-1xy-1 + -1eno-1x2y-2 + -1o-1s-1x2y-2
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