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Simplifying 8r2 + -1r + -6 = -10 Reorder the terms: -6 + -1r + 8r2 = -10 Solving -6 + -1r + 8r2 = -10 Solving for variable 'r'. Reorder the terms: -6 + 10 + -1r + 8r2 = -10 + 10 Combine like terms: -6 + 10 = 4 4 + -1r + 8r2 = -10 + 10 Combine like terms: -10 + 10 = 0 4 + -1r + 8r2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.5 + -0.125r + r2 = 0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + -0.125r + -0.5 + r2 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + -0.125r + r2 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.125r + r2 = 0 + -0.5 -0.125r + r2 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 -0.125r + r2 = -0.5 The r term is -0.125r. Take half its coefficient (-0.0625). Square it (0.00390625) and add it to both sides. Add '0.00390625' to each side of the equation. -0.125r + 0.00390625 + r2 = -0.5 + 0.00390625 Reorder the terms: 0.00390625 + -0.125r + r2 = -0.5 + 0.00390625 Combine like terms: -0.5 + 0.00390625 = -0.49609375 0.00390625 + -0.125r + r2 = -0.49609375 Factor a perfect square on the left side: (r + -0.0625)(r + -0.0625) = -0.49609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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