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Simplifying r2 + -2r + 9 = 0 Reorder the terms: 9 + -2r + r2 = 0 Solving 9 + -2r + r2 = 0 Solving for variable 'r'. Begin completing the square. Move the constant term to the right: Add '-9' to each side of the equation. 9 + -2r + -9 + r2 = 0 + -9 Reorder the terms: 9 + -9 + -2r + r2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2r + r2 = 0 + -9 -2r + r2 = 0 + -9 Combine like terms: 0 + -9 = -9 -2r + r2 = -9 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 = -9 + 1 Reorder the terms: 1 + -2r + r2 = -9 + 1 Combine like terms: -9 + 1 = -8 1 + -2r + r2 = -8 Factor a perfect square on the left side: (r + -1)(r + -1) = -8 Can't calculate square root of the right side. The solution to this equation could not be determined.
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