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Simplifying 10r2 + -10r + 6.4 = 0 Reorder the terms: 6.4 + -10r + 10r2 = 0 Solving 6.4 + -10r + 10r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 0.64 + -1r + r2 = 0 Move the constant term to the right: Add '-0.64' to each side of the equation. 0.64 + -1r + -0.64 + r2 = 0 + -0.64 Reorder the terms: 0.64 + -0.64 + -1r + r2 = 0 + -0.64 Combine like terms: 0.64 + -0.64 = 0.00 0.00 + -1r + r2 = 0 + -0.64 -1r + r2 = 0 + -0.64 Combine like terms: 0 + -0.64 = -0.64 -1r + r2 = -0.64 The r term is -1r. 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. -1r + 0.25 + r2 = -0.64 + 0.25 Reorder the terms: 0.25 + -1r + r2 = -0.64 + 0.25 Combine like terms: -0.64 + 0.25 = -0.39 0.25 + -1r + r2 = -0.39 Factor a perfect square on the left side: (r + -0.5)(r + -0.5) = -0.39 Can't calculate square root of the right side. The solution to this equation could not be determined.
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