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Simplifying (x2 + y2 + -1a2) * x * dx + (x2 + -1y2 + -1b2) * y * dy = 0 Reorder the terms: (-1a2 + x2 + y2) * x * dx + (x2 + -1y2 + -1b2) * y * dy = 0 Reorder the terms for easier multiplication: x * dx(-1a2 + x2 + y2) + (x2 + -1y2 + -1b2) * y * dy = 0 Multiply x * dx dx2(-1a2 + x2 + y2) + (x2 + -1y2 + -1b2) * y * dy = 0 (-1a2 * dx2 + x2 * dx2 + y2 * dx2) + (x2 + -1y2 + -1b2) * y * dy = 0 Reorder the terms: (-1a2dx2 + dx2y2 + dx4) + (x2 + -1y2 + -1b2) * y * dy = 0 (-1a2dx2 + dx2y2 + dx4) + (x2 + -1y2 + -1b2) * y * dy = 0 Reorder the terms: -1a2dx2 + dx2y2 + dx4 + (-1b2 + x2 + -1y2) * y * dy = 0 Reorder the terms for easier multiplication: -1a2dx2 + dx2y2 + dx4 + y * dy(-1b2 + x2 + -1y2) = 0 Multiply y * dy -1a2dx2 + dx2y2 + dx4 + dy2(-1b2 + x2 + -1y2) = 0 -1a2dx2 + dx2y2 + dx4 + (-1b2 * dy2 + x2 * dy2 + -1y2 * dy2) = 0 -1a2dx2 + dx2y2 + dx4 + (-1b2dy2 + dx2y2 + -1dy4) = 0 Reorder the terms: -1a2dx2 + -1b2dy2 + dx2y2 + dx2y2 + dx4 + -1dy4 = 0 Combine like terms: dx2y2 + dx2y2 = 2dx2y2 -1a2dx2 + -1b2dy2 + 2dx2y2 + dx4 + -1dy4 = 0 Solving -1a2dx2 + -1b2dy2 + 2dx2y2 + dx4 + -1dy4 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'b2dy2' to each side of the equation. -1a2dx2 + -1b2dy2 + 2dx2y2 + dx4 + b2dy2 + -1dy4 = 0 + b2dy2 Reorder the terms: -1a2dx2 + -1b2dy2 + b2dy2 + 2dx2y2 + dx4 + -1dy4 = 0 + b2dy2 Combine like terms: -1b2dy2 + b2dy2 = 0 -1a2dx2 + 0 + 2dx2y2 + dx4 + -1dy4 = 0 + b2dy2 -1a2dx2 + 2dx2y2 + dx4 + -1dy4 = 0 + b2dy2 Remove the zero: -1a2dx2 + 2dx2y2 + dx4 + -1dy4 = b2dy2 Add '-2dx2y2' to each side of the equation. -1a2dx2 + 2dx2y2 + dx4 + -2dx2y2 + -1dy4 = b2dy2 + -2dx2y2 Reorder the terms: -1a2dx2 + 2dx2y2 + -2dx2y2 + dx4 + -1dy4 = b2dy2 + -2dx2y2 Combine like terms: 2dx2y2 + -2dx2y2 = 0 -1a2dx2 + 0 + dx4 + -1dy4 = b2dy2 + -2dx2y2 -1a2dx2 + dx4 + -1dy4 = b2dy2 + -2dx2y2 Add '-1dx4' to each side of the equation. -1a2dx2 + dx4 + -1dx4 + -1dy4 = b2dy2 + -2dx2y2 + -1dx4 Combine like terms: dx4 + -1dx4 = 0 -1a2dx2 + 0 + -1dy4 = b2dy2 + -2dx2y2 + -1dx4 -1a2dx2 + -1dy4 = b2dy2 + -2dx2y2 + -1dx4 Add 'dy4' to each side of the equation. -1a2dx2 + -1dy4 + dy4 = b2dy2 + -2dx2y2 + -1dx4 + dy4 Combine like terms: -1dy4 + dy4 = 0 -1a2dx2 + 0 = b2dy2 + -2dx2y2 + -1dx4 + dy4 -1a2dx2 = b2dy2 + -2dx2y2 + -1dx4 + dy4 Divide each side by '-1dx2'. a2 = -1b2x-2y2 + 2y2 + x2 + -1x-2y4 Simplifying a2 = -1b2x-2y2 + 2y2 + x2 + -1x-2y4 Reorder the terms: a2 = -1b2x-2y2 + -1x-2y4 + x2 + 2y2 Reorder the terms: a2 + b2x-2y2 + x-2y4 + -1x2 + -2y2 = -1b2x-2y2 + b2x-2y2 + -1x-2y4 + x-2y4 + x2 + -1x2 + 2y2 + -2y2 Combine like terms: -1b2x-2y2 + b2x-2y2 = 0 a2 + b2x-2y2 + x-2y4 + -1x2 + -2y2 = 0 + -1x-2y4 + x-2y4 + x2 + -1x2 + 2y2 + -2y2 a2 + b2x-2y2 + x-2y4 + -1x2 + -2y2 = -1x-2y4 + x-2y4 + x2 + -1x2 + 2y2 + -2y2 Combine like terms: -1x-2y4 + x-2y4 = 0 a2 + b2x-2y2 + x-2y4 + -1x2 + -2y2 = 0 + x2 + -1x2 + 2y2 + -2y2 a2 + b2x-2y2 + x-2y4 + -1x2 + -2y2 = x2 + -1x2 + 2y2 + -2y2 Combine like terms: x2 + -1x2 = 0 a2 + b2x-2y2 + x-2y4 + -1x2 + -2y2 = 0 + 2y2 + -2y2 a2 + b2x-2y2 + x-2y4 + -1x2 + -2y2 = 2y2 + -2y2 Combine like terms: 2y2 + -2y2 = 0 a2 + b2x-2y2 + x-2y4 + -1x2 + -2y2 = 0 The solution to this equation could not be determined.
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