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Simplifying 16r2 + 3r + 2 = 0 Reorder the terms: 2 + 3r + 16r2 = 0 Solving 2 + 3r + 16r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.125 + 0.1875r + r2 = 0 Move the constant term to the right: Add '-0.125' to each side of the equation. 0.125 + 0.1875r + -0.125 + r2 = 0 + -0.125 Reorder the terms: 0.125 + -0.125 + 0.1875r + r2 = 0 + -0.125 Combine like terms: 0.125 + -0.125 = 0.000 0.000 + 0.1875r + r2 = 0 + -0.125 0.1875r + r2 = 0 + -0.125 Combine like terms: 0 + -0.125 = -0.125 0.1875r + r2 = -0.125 The r term is 0.1875r. Take half its coefficient (0.09375). Square it (0.0087890625) and add it to both sides. Add '0.0087890625' to each side of the equation. 0.1875r + 0.0087890625 + r2 = -0.125 + 0.0087890625 Reorder the terms: 0.0087890625 + 0.1875r + r2 = -0.125 + 0.0087890625 Combine like terms: -0.125 + 0.0087890625 = -0.1162109375 0.0087890625 + 0.1875r + r2 = -0.1162109375 Factor a perfect square on the left side: (r + 0.09375)(r + 0.09375) = -0.1162109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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