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Simplifying (5(cosy) + -1y) * dx + (-5(seny) + -1x) * dy = 0 Reorder the terms for easier multiplication: dx(5cosy + -1y) + (-5(seny) + -1x) * dy = 0 (5cosy * dx + -1y * dx) + (-5(seny) + -1x) * dy = 0 (5cdosxy + -1dxy) + (-5(seny) + -1x) * dy = 0 Reorder the terms for easier multiplication: 5cdosxy + -1dxy + dy(-5ensy + -1x) = 0 5cdosxy + -1dxy + (-5ensy * dy + -1x * dy) = 0 5cdosxy + -1dxy + (-5densy2 + -1dxy) = 0 Reorder the terms: 5cdosxy + -5densy2 + -1dxy + -1dxy = 0 Combine like terms: -1dxy + -1dxy = -2dxy 5cdosxy + -5densy2 + -2dxy = 0 Solving 5cdosxy + -5densy2 + -2dxy = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '5densy2' to each side of the equation. 5cdosxy + -5densy2 + 5densy2 + -2dxy = 0 + 5densy2 Combine like terms: -5densy2 + 5densy2 = 0 5cdosxy + 0 + -2dxy = 0 + 5densy2 5cdosxy + -2dxy = 0 + 5densy2 Remove the zero: 5cdosxy + -2dxy = 5densy2 Add '2dxy' to each side of the equation. 5cdosxy + -2dxy + 2dxy = 5densy2 + 2dxy Combine like terms: -2dxy + 2dxy = 0 5cdosxy + 0 = 5densy2 + 2dxy 5cdosxy = 5densy2 + 2dxy Divide each side by '5dosxy'. c = eno-1x-1y + 0.4o-1s-1 Simplifying c = eno-1x-1y + 0.4o-1s-1
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