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Simplifying x2 + -1y2 + ax + by = 0 Reorder the terms: ax + by + x2 + -1y2 = 0 Solving ax + by + x2 + -1y2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1by' to each side of the equation. ax + by + x2 + -1by + -1y2 = 0 + -1by Reorder the terms: ax + by + -1by + x2 + -1y2 = 0 + -1by Combine like terms: by + -1by = 0 ax + 0 + x2 + -1y2 = 0 + -1by ax + x2 + -1y2 = 0 + -1by Remove the zero: ax + x2 + -1y2 = -1by Add '-1x2' to each side of the equation. ax + x2 + -1x2 + -1y2 = -1by + -1x2 Combine like terms: x2 + -1x2 = 0 ax + 0 + -1y2 = -1by + -1x2 ax + -1y2 = -1by + -1x2 Add 'y2' to each side of the equation. ax + -1y2 + y2 = -1by + -1x2 + y2 Combine like terms: -1y2 + y2 = 0 ax + 0 = -1by + -1x2 + y2 ax = -1by + -1x2 + y2 Divide each side by 'x'. a = -1bx-1y + -1x + x-1y2 Simplifying a = -1bx-1y + -1x + x-1y2 Reorder the terms: a = -1bx-1y + x-1y2 + -1x
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