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Simplifying (x2 + -1ay) * dx = (ax + -1y2) * dy Reorder the terms: (-1ay + x2) * dx = (ax + -1y2) * dy Reorder the terms for easier multiplication: dx(-1ay + x2) = (ax + -1y2) * dy (-1ay * dx + x2 * dx) = (ax + -1y2) * dy (-1adxy + dx3) = (ax + -1y2) * dy Reorder the terms for easier multiplication: -1adxy + dx3 = dy(ax + -1y2) -1adxy + dx3 = (ax * dy + -1y2 * dy) -1adxy + dx3 = (adxy + -1dy3) Solving -1adxy + dx3 = adxy + -1dy3 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1adxy' to each side of the equation. -1adxy + -1adxy + dx3 = adxy + -1adxy + -1dy3 Combine like terms: -1adxy + -1adxy = -2adxy -2adxy + dx3 = adxy + -1adxy + -1dy3 Combine like terms: adxy + -1adxy = 0 -2adxy + dx3 = 0 + -1dy3 -2adxy + dx3 = -1dy3 Add '-1dx3' to each side of the equation. -2adxy + dx3 + -1dx3 = -1dx3 + -1dy3 Combine like terms: dx3 + -1dx3 = 0 -2adxy + 0 = -1dx3 + -1dy3 -2adxy = -1dx3 + -1dy3 Divide each side by '-2dxy'. a = 0.5x2y-1 + 0.5x-1y2 Simplifying a = 0.5x2y-1 + 0.5x-1y2 Reorder the terms: a = 0.5x-1y2 + 0.5x2y-1
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