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Simplifying x2 + -22x + 169 + x2 + 16 = 0 Reorder the terms: 169 + 16 + -22x + x2 + x2 = 0 Combine like terms: 169 + 16 = 185 185 + -22x + x2 + x2 = 0 Combine like terms: x2 + x2 = 2x2 185 + -22x + 2x2 = 0 Solving 185 + -22x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 92.5 + -11x + x2 = 0 Move the constant term to the right: Add '-92.5' to each side of the equation. 92.5 + -11x + -92.5 + x2 = 0 + -92.5 Reorder the terms: 92.5 + -92.5 + -11x + x2 = 0 + -92.5 Combine like terms: 92.5 + -92.5 = 0.0 0.0 + -11x + x2 = 0 + -92.5 -11x + x2 = 0 + -92.5 Combine like terms: 0 + -92.5 = -92.5 -11x + x2 = -92.5 The x term is -11x. Take half its coefficient (-5.5). Square it (30.25) and add it to both sides. Add '30.25' to each side of the equation. -11x + 30.25 + x2 = -92.5 + 30.25 Reorder the terms: 30.25 + -11x + x2 = -92.5 + 30.25 Combine like terms: -92.5 + 30.25 = -62.25 30.25 + -11x + x2 = -62.25 Factor a perfect square on the left side: (x + -5.5)(x + -5.5) = -62.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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