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Simplifying 7r2 + 5r + 3 = 0 Reorder the terms: 3 + 5r + 7r2 = 0 Solving 3 + 5r + 7r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.4285714286 + 0.7142857143r + r2 = 0 Move the constant term to the right: Add '-0.4285714286' to each side of the equation. 0.4285714286 + 0.7142857143r + -0.4285714286 + r2 = 0 + -0.4285714286 Reorder the terms: 0.4285714286 + -0.4285714286 + 0.7142857143r + r2 = 0 + -0.4285714286 Combine like terms: 0.4285714286 + -0.4285714286 = 0.0000000000 0.0000000000 + 0.7142857143r + r2 = 0 + -0.4285714286 0.7142857143r + r2 = 0 + -0.4285714286 Combine like terms: 0 + -0.4285714286 = -0.4285714286 0.7142857143r + r2 = -0.4285714286 The r term is 0.7142857143r. Take half its coefficient (0.3571428572). Square it (0.1275510204) and add it to both sides. Add '0.1275510204' to each side of the equation. 0.7142857143r + 0.1275510204 + r2 = -0.4285714286 + 0.1275510204 Reorder the terms: 0.1275510204 + 0.7142857143r + r2 = -0.4285714286 + 0.1275510204 Combine like terms: -0.4285714286 + 0.1275510204 = -0.3010204082 0.1275510204 + 0.7142857143r + r2 = -0.3010204082 Factor a perfect square on the left side: (r + 0.3571428572)(r + 0.3571428572) = -0.3010204082 Can't calculate square root of the right side. The solution to this equation could not be determined.
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