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Simplifying r2 + 7r + 44 = 0 Reorder the terms: 44 + 7r + r2 = 0 Solving 44 + 7r + r2 = 0 Solving for variable 'r'. Begin completing the square. Move the constant term to the right: Add '-44' to each side of the equation. 44 + 7r + -44 + r2 = 0 + -44 Reorder the terms: 44 + -44 + 7r + r2 = 0 + -44 Combine like terms: 44 + -44 = 0 0 + 7r + r2 = 0 + -44 7r + r2 = 0 + -44 Combine like terms: 0 + -44 = -44 7r + r2 = -44 The r term is 7r. Take half its coefficient (3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. 7r + 12.25 + r2 = -44 + 12.25 Reorder the terms: 12.25 + 7r + r2 = -44 + 12.25 Combine like terms: -44 + 12.25 = -31.75 12.25 + 7r + r2 = -31.75 Factor a perfect square on the left side: (r + 3.5)(r + 3.5) = -31.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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