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Simplifying 8r2 + 56r + 121 = 0 Reorder the terms: 121 + 56r + 8r2 = 0 Solving 121 + 56r + 8r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 15.125 + 7r + r2 = 0 Move the constant term to the right: Add '-15.125' to each side of the equation. 15.125 + 7r + -15.125 + r2 = 0 + -15.125 Reorder the terms: 15.125 + -15.125 + 7r + r2 = 0 + -15.125 Combine like terms: 15.125 + -15.125 = 0.000 0.000 + 7r + r2 = 0 + -15.125 7r + r2 = 0 + -15.125 Combine like terms: 0 + -15.125 = -15.125 7r + r2 = -15.125 The r term is 7r. Take half its coefficient (3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. 7r + 12.25 + r2 = -15.125 + 12.25 Reorder the terms: 12.25 + 7r + r2 = -15.125 + 12.25 Combine like terms: -15.125 + 12.25 = -2.875 12.25 + 7r + r2 = -2.875 Factor a perfect square on the left side: (r + 3.5)(r + 3.5) = -2.875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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