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Simplifying 8r2 + 4r + 9 = 0 Reorder the terms: 9 + 4r + 8r2 = 0 Solving 9 + 4r + 8r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 1.125 + 0.5r + r2 = 0 Move the constant term to the right: Add '-1.125' to each side of the equation. 1.125 + 0.5r + -1.125 + r2 = 0 + -1.125 Reorder the terms: 1.125 + -1.125 + 0.5r + r2 = 0 + -1.125 Combine like terms: 1.125 + -1.125 = 0.000 0.000 + 0.5r + r2 = 0 + -1.125 0.5r + r2 = 0 + -1.125 Combine like terms: 0 + -1.125 = -1.125 0.5r + r2 = -1.125 The r term is 0.5r. Take half its coefficient (0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. 0.5r + 0.0625 + r2 = -1.125 + 0.0625 Reorder the terms: 0.0625 + 0.5r + r2 = -1.125 + 0.0625 Combine like terms: -1.125 + 0.0625 = -1.0625 0.0625 + 0.5r + r2 = -1.0625 Factor a perfect square on the left side: (r + 0.25)(r + 0.25) = -1.0625 Can't calculate square root of the right side. The solution to this equation could not be determined.
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