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Simplifying 16r2 + r + 5 = 0 Reorder the terms: 5 + r + 16r2 = 0 Solving 5 + r + 16r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.3125 + 0.0625r + r2 = 0 Move the constant term to the right: Add '-0.3125' to each side of the equation. 0.3125 + 0.0625r + -0.3125 + r2 = 0 + -0.3125 Reorder the terms: 0.3125 + -0.3125 + 0.0625r + r2 = 0 + -0.3125 Combine like terms: 0.3125 + -0.3125 = 0.0000 0.0000 + 0.0625r + r2 = 0 + -0.3125 0.0625r + r2 = 0 + -0.3125 Combine like terms: 0 + -0.3125 = -0.3125 0.0625r + r2 = -0.3125 The r term is r. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.0625r + 0.25 + r2 = -0.3125 + 0.25 Reorder the terms: 0.25 + 0.0625r + r2 = -0.3125 + 0.25 Combine like terms: -0.3125 + 0.25 = -0.0625 0.25 + 0.0625r + r2 = -0.0625 Factor a perfect square on the left side: (r + 0.5)(r + 0.5) = -0.0625 Can't calculate square root of the right side. The solution to this equation could not be determined.
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