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Simplifying 4x2 + y2 + ax + by + c = 0 Reorder the terms: ax + by + c + 4x2 + y2 = 0 Solving ax + by + c + 4x2 + y2 = 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 + c + 4x2 + -1by + y2 = 0 + -1by Reorder the terms: ax + by + -1by + c + 4x2 + y2 = 0 + -1by Combine like terms: by + -1by = 0 ax + 0 + c + 4x2 + y2 = 0 + -1by ax + c + 4x2 + y2 = 0 + -1by Remove the zero: ax + c + 4x2 + y2 = -1by Add '-1c' to each side of the equation. ax + c + 4x2 + -1c + y2 = -1by + -1c Reorder the terms: ax + c + -1c + 4x2 + y2 = -1by + -1c Combine like terms: c + -1c = 0 ax + 0 + 4x2 + y2 = -1by + -1c ax + 4x2 + y2 = -1by + -1c Add '-4x2' to each side of the equation. ax + 4x2 + -4x2 + y2 = -1by + -1c + -4x2 Combine like terms: 4x2 + -4x2 = 0 ax + 0 + y2 = -1by + -1c + -4x2 ax + y2 = -1by + -1c + -4x2 Add '-1y2' to each side of the equation. ax + y2 + -1y2 = -1by + -1c + -4x2 + -1y2 Combine like terms: y2 + -1y2 = 0 ax + 0 = -1by + -1c + -4x2 + -1y2 ax = -1by + -1c + -4x2 + -1y2 Divide each side by 'x'. a = -1bx-1y + -1cx-1 + -4x + -1x-1y2 Simplifying a = -1bx-1y + -1cx-1 + -4x + -1x-1y2 Reorder the terms: a = -1bx-1y + -1cx-1 + -1x-1y2 + -4x
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