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Simplifying r2 + 24r + 169 = 0 Reorder the terms: 169 + 24r + r2 = 0 Solving 169 + 24r + r2 = 0 Solving for variable 'r'. Begin completing the square. Move the constant term to the right: Add '-169' to each side of the equation. 169 + 24r + -169 + r2 = 0 + -169 Reorder the terms: 169 + -169 + 24r + r2 = 0 + -169 Combine like terms: 169 + -169 = 0 0 + 24r + r2 = 0 + -169 24r + r2 = 0 + -169 Combine like terms: 0 + -169 = -169 24r + r2 = -169 The r term is 24r. Take half its coefficient (12). Square it (144) and add it to both sides. Add '144' to each side of the equation. 24r + 144 + r2 = -169 + 144 Reorder the terms: 144 + 24r + r2 = -169 + 144 Combine like terms: -169 + 144 = -25 144 + 24r + r2 = -25 Factor a perfect square on the left side: (r + 12)(r + 12) = -25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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