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Simplifying 49b2 + 31b + 9 = 0 Reorder the terms: 9 + 31b + 49b2 = 0 Solving 9 + 31b + 49b2 = 0 Solving for variable 'b'. Begin completing the square. Divide all terms by 49 the coefficient of the squared term: Divide each side by '49'. 0.1836734694 + 0.6326530612b + b2 = 0 Move the constant term to the right: Add '-0.1836734694' to each side of the equation. 0.1836734694 + 0.6326530612b + -0.1836734694 + b2 = 0 + -0.1836734694 Reorder the terms: 0.1836734694 + -0.1836734694 + 0.6326530612b + b2 = 0 + -0.1836734694 Combine like terms: 0.1836734694 + -0.1836734694 = 0.0000000000 0.0000000000 + 0.6326530612b + b2 = 0 + -0.1836734694 0.6326530612b + b2 = 0 + -0.1836734694 Combine like terms: 0 + -0.1836734694 = -0.1836734694 0.6326530612b + b2 = -0.1836734694 The b term is 0.6326530612b. Take half its coefficient (0.3163265306). Square it (0.1000624740) and add it to both sides. Add '0.1000624740' to each side of the equation. 0.6326530612b + 0.1000624740 + b2 = -0.1836734694 + 0.1000624740 Reorder the terms: 0.1000624740 + 0.6326530612b + b2 = -0.1836734694 + 0.1000624740 Combine like terms: -0.1836734694 + 0.1000624740 = -0.0836109954 0.1000624740 + 0.6326530612b + b2 = -0.0836109954 Factor a perfect square on the left side: (b + 0.3163265306)(b + 0.3163265306) = -0.0836109954 Can't calculate square root of the right side. The solution to this equation could not be determined.
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