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Simplifying 2r2 + 13r + 60 = 0 Reorder the terms: 60 + 13r + 2r2 = 0 Solving 60 + 13r + 2r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 30 + 6.5r + r2 = 0 Move the constant term to the right: Add '-30' to each side of the equation. 30 + 6.5r + -30 + r2 = 0 + -30 Reorder the terms: 30 + -30 + 6.5r + r2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 6.5r + r2 = 0 + -30 6.5r + r2 = 0 + -30 Combine like terms: 0 + -30 = -30 6.5r + r2 = -30 The r term is 6.5r. Take half its coefficient (3.25). Square it (10.5625) and add it to both sides. Add '10.5625' to each side of the equation. 6.5r + 10.5625 + r2 = -30 + 10.5625 Reorder the terms: 10.5625 + 6.5r + r2 = -30 + 10.5625 Combine like terms: -30 + 10.5625 = -19.4375 10.5625 + 6.5r + r2 = -19.4375 Factor a perfect square on the left side: (r + 3.25)(r + 3.25) = -19.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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