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Simplifying 49b2 + 9b + 5 = 0 Reorder the terms: 5 + 9b + 49b2 = 0 Solving 5 + 9b + 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'. 0.1020408163 + 0.1836734694b + b2 = 0 Move the constant term to the right: Add '-0.1020408163' to each side of the equation. 0.1020408163 + 0.1836734694b + -0.1020408163 + b2 = 0 + -0.1020408163 Reorder the terms: 0.1020408163 + -0.1020408163 + 0.1836734694b + b2 = 0 + -0.1020408163 Combine like terms: 0.1020408163 + -0.1020408163 = 0.0000000000 0.0000000000 + 0.1836734694b + b2 = 0 + -0.1020408163 0.1836734694b + b2 = 0 + -0.1020408163 Combine like terms: 0 + -0.1020408163 = -0.1020408163 0.1836734694b + b2 = -0.1020408163 The b term is 0.1836734694b. Take half its coefficient (0.0918367347). Square it (0.008433985840) and add it to both sides. Add '0.008433985840' to each side of the equation. 0.1836734694b + 0.008433985840 + b2 = -0.1020408163 + 0.008433985840 Reorder the terms: 0.008433985840 + 0.1836734694b + b2 = -0.1020408163 + 0.008433985840 Combine like terms: -0.1020408163 + 0.008433985840 = -0.09360683046 0.008433985840 + 0.1836734694b + b2 = -0.09360683046 Factor a perfect square on the left side: (b + 0.0918367347)(b + 0.0918367347) = -0.09360683046 Can't calculate square root of the right side. The solution to this equation could not be determined.
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