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Simplifying 8r2 + -0.02r + 0.01 = 0 Reorder the terms: 0.01 + -0.02r + 8r2 = 0 Solving 0.01 + -0.02r + 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'. 0.00125 + -0.0025r + r2 = 0 Move the constant term to the right: Add '-0.00125' to each side of the equation. 0.00125 + -0.0025r + -0.00125 + r2 = 0 + -0.00125 Reorder the terms: 0.00125 + -0.00125 + -0.0025r + r2 = 0 + -0.00125 Combine like terms: 0.00125 + -0.00125 = 0.00000 0.00000 + -0.0025r + r2 = 0 + -0.00125 -0.0025r + r2 = 0 + -0.00125 Combine like terms: 0 + -0.00125 = -0.00125 -0.0025r + r2 = -0.00125 The r term is -0.0025r. Take half its coefficient (-0.00125). Square it (0.0000015625) and add it to both sides. Add '0.0000015625' to each side of the equation. -0.0025r + 0.0000015625 + r2 = -0.00125 + 0.0000015625 Reorder the terms: 0.0000015625 + -0.0025r + r2 = -0.00125 + 0.0000015625 Combine like terms: -0.00125 + 0.0000015625 = -0.0012484375 0.0000015625 + -0.0025r + r2 = -0.0012484375 Factor a perfect square on the left side: (r + -0.00125)(r + -0.00125) = -0.0012484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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