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Simplifying (4x + siny + -2x + -1cosy2) * dx + ((2x2) * cosy * siny + x * cosy) * dy = 0 Reorder the terms: (-1cosy2 + insy + 4x + -2x) * dx + ((2x2) * cosy * siny + x * cosy) * dy = 0 Combine like terms: 4x + -2x = 2x (-1cosy2 + insy + 2x) * dx + ((2x2) * cosy * siny + x * cosy) * dy = 0 Reorder the terms for easier multiplication: dx(-1cosy2 + insy + 2x) + ((2x2) * cosy * siny + x * cosy) * dy = 0 (-1cosy2 * dx + insy * dx + 2x * dx) + ((2x2) * cosy * siny + x * cosy) * dy = 0 (-1cdosxy2 + dinsxy + 2dx2) + ((2x2) * cosy * siny + x * cosy) * dy = 0 Remove parenthesis around (2x2) -1cdosxy2 + dinsxy + 2dx2 + (2x2 * cosy * siny + x * cosy) * dy = 0 Multiply x2 * cosy -1cdosxy2 + dinsxy + 2dx2 + (2cosx2y * insy + x * cosy) * dy = 0 Multiply cosx2y * insy -1cdosxy2 + dinsxy + 2dx2 + (2cinos2x2y2 + x * cosy) * dy = 0 Multiply x * cosy -1cdosxy2 + dinsxy + 2dx2 + (2cinos2x2y2 + cosxy) * dy = 0 Reorder the terms for easier multiplication: -1cdosxy2 + dinsxy + 2dx2 + dy(2cinos2x2y2 + cosxy) = 0 -1cdosxy2 + dinsxy + 2dx2 + (2cinos2x2y2 * dy + cosxy * dy) = 0 -1cdosxy2 + dinsxy + 2dx2 + (2cdinos2x2y3 + cdosxy2) = 0 Reorder the terms: 2cdinos2x2y3 + -1cdosxy2 + cdosxy2 + dinsxy + 2dx2 = 0 Combine like terms: -1cdosxy2 + cdosxy2 = 0 2cdinos2x2y3 + 0 + dinsxy + 2dx2 = 0 2cdinos2x2y3 + dinsxy + 2dx2 = 0 Solving 2cdinos2x2y3 + dinsxy + 2dx2 = 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. 2cdinos2x2y3 + dinsxy + -1dinsxy + 2dx2 = 0 + -1dinsxy Combine like terms: dinsxy + -1dinsxy = 0 2cdinos2x2y3 + 0 + 2dx2 = 0 + -1dinsxy 2cdinos2x2y3 + 2dx2 = 0 + -1dinsxy Remove the zero: 2cdinos2x2y3 + 2dx2 = -1dinsxy Add '-2dx2' to each side of the equation. 2cdinos2x2y3 + 2dx2 + -2dx2 = -1dinsxy + -2dx2 Combine like terms: 2dx2 + -2dx2 = 0 2cdinos2x2y3 + 0 = -1dinsxy + -2dx2 2cdinos2x2y3 = -1dinsxy + -2dx2 Divide each side by '2dinos2x2y3'. c = -0.5o-1s-1x-1y-2 + -1i-1n-1o-1s-2y-3 Simplifying c = -0.5o-1s-1x-1y-2 + -1i-1n-1o-1s-2y-3 Reorder the terms: c = -1i-1n-1o-1s-2y-3 + -0.5o-1s-1x-1y-2
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