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Simplifying r2 + 18r + 73 = -9 Reorder the terms: 73 + 18r + r2 = -9 Solving 73 + 18r + r2 = -9 Solving for variable 'r'. Reorder the terms: 73 + 9 + 18r + r2 = -9 + 9 Combine like terms: 73 + 9 = 82 82 + 18r + r2 = -9 + 9 Combine like terms: -9 + 9 = 0 82 + 18r + r2 = 0 Begin completing the square. Move the constant term to the right: Add '-82' to each side of the equation. 82 + 18r + -82 + r2 = 0 + -82 Reorder the terms: 82 + -82 + 18r + r2 = 0 + -82 Combine like terms: 82 + -82 = 0 0 + 18r + r2 = 0 + -82 18r + r2 = 0 + -82 Combine like terms: 0 + -82 = -82 18r + r2 = -82 The r term is 18r. Take half its coefficient (9). Square it (81) and add it to both sides. Add '81' to each side of the equation. 18r + 81 + r2 = -82 + 81 Reorder the terms: 81 + 18r + r2 = -82 + 81 Combine like terms: -82 + 81 = -1 81 + 18r + r2 = -1 Factor a perfect square on the left side: (r + 9)(r + 9) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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