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Simplifying 8r2 + 3r + 2 = 0 Reorder the terms: 2 + 3r + 8r2 = 0 Solving 2 + 3r + 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'. 0.25 + 0.375r + r2 = 0 Move the constant term to the right: Add '-0.25' to each side of the equation. 0.25 + 0.375r + -0.25 + r2 = 0 + -0.25 Reorder the terms: 0.25 + -0.25 + 0.375r + r2 = 0 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + 0.375r + r2 = 0 + -0.25 0.375r + r2 = 0 + -0.25 Combine like terms: 0 + -0.25 = -0.25 0.375r + r2 = -0.25 The r term is 0.375r. Take half its coefficient (0.1875). Square it (0.03515625) and add it to both sides. Add '0.03515625' to each side of the equation. 0.375r + 0.03515625 + r2 = -0.25 + 0.03515625 Reorder the terms: 0.03515625 + 0.375r + r2 = -0.25 + 0.03515625 Combine like terms: -0.25 + 0.03515625 = -0.21484375 0.03515625 + 0.375r + r2 = -0.21484375 Factor a perfect square on the left side: (r + 0.1875)(r + 0.1875) = -0.21484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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