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Simplifying (2xy) * dx + -1(x2 + -1y2 + -1a) * dy = 0 Remove parenthesis around (2xy) 2xy * dx + -1(x2 + -1y2 + -1a) * dy = 0 Multiply xy * dx 2dx2y + -1(x2 + -1y2 + -1a) * dy = 0 Reorder the terms: 2dx2y + -1(-1a + x2 + -1y2) * dy = 0 Reorder the terms for easier multiplication: 2dx2y + -1dy(-1a + x2 + -1y2) = 0 2dx2y + (-1a * -1dy + x2 * -1dy + -1y2 * -1dy) = 0 2dx2y + (1ady + -1dx2y + 1dy3) = 0 Reorder the terms: 1ady + 2dx2y + -1dx2y + 1dy3 = 0 Combine like terms: 2dx2y + -1dx2y = 1dx2y 1ady + 1dx2y + 1dy3 = 0 Solving 1ady + 1dx2y + 1dy3 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1dx2y' to each side of the equation. 1ady + 1dx2y + -1dx2y + 1dy3 = 0 + -1dx2y Combine like terms: 1dx2y + -1dx2y = 0 1ady + 0 + 1dy3 = 0 + -1dx2y 1ady + 1dy3 = 0 + -1dx2y Remove the zero: 1ady + 1dy3 = -1dx2y Add '-1dy3' to each side of the equation. 1ady + 1dy3 + -1dy3 = -1dx2y + -1dy3 Combine like terms: 1dy3 + -1dy3 = 0 1ady + 0 = -1dx2y + -1dy3 1ady = -1dx2y + -1dy3 Divide each side by '1dy'. a = -1x2 + -1y2 Simplifying a = -1x2 + -1y2
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