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Simplifying (y + -2) * dx + (cotx) * dy = 0 Reorder the terms: (-2 + y) * dx + (cotx) * dy = 0 Reorder the terms for easier multiplication: dx(-2 + y) + (cotx) * dy = 0 (-2 * dx + y * dx) + (cotx) * dy = 0 (-2dx + dxy) + (cotx) * dy = 0 Multiply cotx * dy -2dx + dxy + cdotxy = 0 Reorder the terms: cdotxy + -2dx + dxy = 0 Solving cdotxy + -2dx + dxy = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '2dx' to each side of the equation. cdotxy + -2dx + 2dx + dxy = 0 + 2dx Combine like terms: -2dx + 2dx = 0 cdotxy + 0 + dxy = 0 + 2dx cdotxy + dxy = 0 + 2dx Remove the zero: cdotxy + dxy = 2dx Add '-1dxy' to each side of the equation. cdotxy + dxy + -1dxy = 2dx + -1dxy Combine like terms: dxy + -1dxy = 0 cdotxy + 0 = 2dx + -1dxy cdotxy = 2dx + -1dxy Divide each side by 'dotxy'. c = 2o-1t-1y-1 + -1o-1t-1 Simplifying c = 2o-1t-1y-1 + -1o-1t-1 Reorder the terms: c = -1o-1t-1 + 2o-1t-1y-1
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