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Simplifying x2 + y2 + 2ax + 2by + c = R2 Reorder the terms: 2ax + 2by + c + x2 + y2 = R2 Solving 2ax + 2by + c + x2 + y2 = R2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2by' to each side of the equation. 2ax + 2by + c + x2 + -2by + y2 = R2 + -2by Reorder the terms: 2ax + 2by + -2by + c + x2 + y2 = R2 + -2by Combine like terms: 2by + -2by = 0 2ax + 0 + c + x2 + y2 = R2 + -2by 2ax + c + x2 + y2 = R2 + -2by Add '-1c' to each side of the equation. 2ax + c + x2 + -1c + y2 = R2 + -2by + -1c Reorder the terms: 2ax + c + -1c + x2 + y2 = R2 + -2by + -1c Combine like terms: c + -1c = 0 2ax + 0 + x2 + y2 = R2 + -2by + -1c 2ax + x2 + y2 = R2 + -2by + -1c Add '-1x2' to each side of the equation. 2ax + x2 + -1x2 + y2 = R2 + -2by + -1c + -1x2 Combine like terms: x2 + -1x2 = 0 2ax + 0 + y2 = R2 + -2by + -1c + -1x2 2ax + y2 = R2 + -2by + -1c + -1x2 Add '-1y2' to each side of the equation. 2ax + y2 + -1y2 = R2 + -2by + -1c + -1x2 + -1y2 Combine like terms: y2 + -1y2 = 0 2ax + 0 = R2 + -2by + -1c + -1x2 + -1y2 2ax = R2 + -2by + -1c + -1x2 + -1y2 Divide each side by '2x'. a = 0.5x-1R2 + -1bx-1y + -0.5cx-1 + -0.5x + -0.5x-1y2 Simplifying a = 0.5x-1R2 + -1bx-1y + -0.5cx-1 + -0.5x + -0.5x-1y2 Reorder the terms: a = -1bx-1y + -0.5cx-1 + 0.5x-1R2 + -0.5x-1y2 + -0.5x
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