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Simplifying 0.05r2 + r + 60 = 0 Reorder the terms: 60 + r + 0.05r2 = 0 Solving 60 + r + 0.05r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 0.05 the coefficient of the squared term: Divide each side by '0.05'. 1200 + 20r + r2 = 0 Move the constant term to the right: Add '-1200' to each side of the equation. 1200 + 20r + -1200 + r2 = 0 + -1200 Reorder the terms: 1200 + -1200 + 20r + r2 = 0 + -1200 Combine like terms: 1200 + -1200 = 0 0 + 20r + r2 = 0 + -1200 20r + r2 = 0 + -1200 Combine like terms: 0 + -1200 = -1200 20r + r2 = -1200 The r term is r. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 20r + 0.25 + r2 = -1200 + 0.25 Reorder the terms: 0.25 + 20r + r2 = -1200 + 0.25 Combine like terms: -1200 + 0.25 = -1199.75 0.25 + 20r + r2 = -1199.75 Factor a perfect square on the left side: (r + 0.5)(r + 0.5) = -1199.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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