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Simplifying r2 + -2r + 11 = 0 Reorder the terms: 11 + -2r + r2 = 0 Solving 11 + -2r + r2 = 0 Solving for variable 'r'. Begin completing the square. Move the constant term to the right: Add '-11' to each side of the equation. 11 + -2r + -11 + r2 = 0 + -11 Reorder the terms: 11 + -11 + -2r + r2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -2r + r2 = 0 + -11 -2r + r2 = 0 + -11 Combine like terms: 0 + -11 = -11 -2r + r2 = -11 The r term is -2r. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2r + 1 + r2 = -11 + 1 Reorder the terms: 1 + -2r + r2 = -11 + 1 Combine like terms: -11 + 1 = -10 1 + -2r + r2 = -10 Factor a perfect square on the left side: (r + -1)(r + -1) = -10 Can't calculate square root of the right side. The solution to this equation could not be determined.
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