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Simplifying r2 + 5r = -484 Reorder the terms: 5r + r2 = -484 Solving 5r + r2 = -484 Solving for variable 'r'. Reorder the terms: 484 + 5r + r2 = -484 + 484 Combine like terms: -484 + 484 = 0 484 + 5r + r2 = 0 Begin completing the square. Move the constant term to the right: Add '-484' to each side of the equation. 484 + 5r + -484 + r2 = 0 + -484 Reorder the terms: 484 + -484 + 5r + r2 = 0 + -484 Combine like terms: 484 + -484 = 0 0 + 5r + r2 = 0 + -484 5r + r2 = 0 + -484 Combine like terms: 0 + -484 = -484 5r + r2 = -484 The r term is 5r. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5r + 6.25 + r2 = -484 + 6.25 Reorder the terms: 6.25 + 5r + r2 = -484 + 6.25 Combine like terms: -484 + 6.25 = -477.75 6.25 + 5r + r2 = -477.75 Factor a perfect square on the left side: (r + 2.5)(r + 2.5) = -477.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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