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Simplifying (1 + cosx) * dx + -1dy = 0 Reorder the terms for easier multiplication: dx(1 + cosx) + -1dy = 0 (1 * dx + cosx * dx) + -1dy = 0 Reorder the terms: (cdosx2 + 1dx) + -1dy = 0 (cdosx2 + 1dx) + -1dy = 0 Solving cdosx2 + 1dx + -1dy = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1dx' to each side of the equation. cdosx2 + 1dx + -1dx + -1dy = 0 + -1dx Combine like terms: 1dx + -1dx = 0 cdosx2 + 0 + -1dy = 0 + -1dx cdosx2 + -1dy = 0 + -1dx Remove the zero: cdosx2 + -1dy = -1dx Add 'dy' to each side of the equation. cdosx2 + -1dy + dy = -1dx + dy Combine like terms: -1dy + dy = 0 cdosx2 + 0 = -1dx + dy cdosx2 = -1dx + dy Divide each side by 'dosx2'. c = -1o-1s-1x-1 + o-1s-1x-2y Simplifying c = -1o-1s-1x-1 + o-1s-1x-2y Reorder the terms: c = o-1s-1x-2y + -1o-1s-1x-1
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