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Simplifying -2r2 + 5r + -11 = 0 Reorder the terms: -11 + 5r + -2r2 = 0 Solving -11 + 5r + -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'. 5.5 + -2.5r + r2 = 0 Move the constant term to the right: Add '-5.5' to each side of the equation. 5.5 + -2.5r + -5.5 + r2 = 0 + -5.5 Reorder the terms: 5.5 + -5.5 + -2.5r + r2 = 0 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + -2.5r + r2 = 0 + -5.5 -2.5r + r2 = 0 + -5.5 Combine like terms: 0 + -5.5 = -5.5 -2.5r + r2 = -5.5 The r term is -2.5r. Take half its coefficient (-1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. -2.5r + 1.5625 + r2 = -5.5 + 1.5625 Reorder the terms: 1.5625 + -2.5r + r2 = -5.5 + 1.5625 Combine like terms: -5.5 + 1.5625 = -3.9375 1.5625 + -2.5r + r2 = -3.9375 Factor a perfect square on the left side: (r + -1.25)(r + -1.25) = -3.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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