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Simplifying 0.02r + -0.01 = 0.08r2 Reorder the terms: -0.01 + 0.02r = 0.08r2 Solving -0.01 + 0.02r = 0.08r2 Solving for variable 'r'. Combine like terms: 0.08r2 + -0.08r2 = 0.00 -0.01 + 0.02r + -0.08r2 = 0.00 Begin completing the square. Divide all terms by -0.08 the coefficient of the squared term: Divide each side by '-0.08'. 0.125 + -0.25r + r2 = 0 Move the constant term to the right: Add '-0.125' to each side of the equation. 0.125 + -0.25r + -0.125 + r2 = 0 + -0.125 Reorder the terms: 0.125 + -0.125 + -0.25r + r2 = 0 + -0.125 Combine like terms: 0.125 + -0.125 = 0.000 0.000 + -0.25r + r2 = 0 + -0.125 -0.25r + r2 = 0 + -0.125 Combine like terms: 0 + -0.125 = -0.125 -0.25r + r2 = -0.125 The r term is -0.25r. Take half its coefficient (-0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. -0.25r + 0.015625 + r2 = -0.125 + 0.015625 Reorder the terms: 0.015625 + -0.25r + r2 = -0.125 + 0.015625 Combine like terms: -0.125 + 0.015625 = -0.109375 0.015625 + -0.25r + r2 = -0.109375 Factor a perfect square on the left side: (r + -0.125)(r + -0.125) = -0.109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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