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Simplifying r2 + r + 4 = 0 Reorder the terms: 4 + r + r2 = 0 Solving 4 + r + r2 = 0 Solving for variable 'r'. Begin completing the square. Move the constant term to the right: Add '-4' to each side of the equation. 4 + r + -4 + r2 = 0 + -4 Reorder the terms: 4 + -4 + r + r2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + r + r2 = 0 + -4 r + r2 = 0 + -4 Combine like terms: 0 + -4 = -4 r + r2 = -4 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. r + 0.25 + r2 = -4 + 0.25 Reorder the terms: 0.25 + r + r2 = -4 + 0.25 Combine like terms: -4 + 0.25 = -3.75 0.25 + r + r2 = -3.75 Factor a perfect square on the left side: (r + 0.5)(r + 0.5) = -3.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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