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Simplifying 11b2 = -7 + -10b Solving 11b2 = -7 + -10b Solving for variable 'b'. Reorder the terms: 7 + 10b + 11b2 = -7 + -10b + 7 + 10b Reorder the terms: 7 + 10b + 11b2 = -7 + 7 + -10b + 10b Combine like terms: -7 + 7 = 0 7 + 10b + 11b2 = 0 + -10b + 10b 7 + 10b + 11b2 = -10b + 10b Combine like terms: -10b + 10b = 0 7 + 10b + 11b2 = 0 Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 0.6363636364 + 0.9090909091b + b2 = 0 Move the constant term to the right: Add '-0.6363636364' to each side of the equation. 0.6363636364 + 0.9090909091b + -0.6363636364 + b2 = 0 + -0.6363636364 Reorder the terms: 0.6363636364 + -0.6363636364 + 0.9090909091b + b2 = 0 + -0.6363636364 Combine like terms: 0.6363636364 + -0.6363636364 = 0.0000000000 0.0000000000 + 0.9090909091b + b2 = 0 + -0.6363636364 0.9090909091b + b2 = 0 + -0.6363636364 Combine like terms: 0 + -0.6363636364 = -0.6363636364 0.9090909091b + b2 = -0.6363636364 The b term is 0.9090909091b. Take half its coefficient (0.4545454546). Square it (0.2066115703) and add it to both sides. Add '0.2066115703' to each side of the equation. 0.9090909091b + 0.2066115703 + b2 = -0.6363636364 + 0.2066115703 Reorder the terms: 0.2066115703 + 0.9090909091b + b2 = -0.6363636364 + 0.2066115703 Combine like terms: -0.6363636364 + 0.2066115703 = -0.4297520661 0.2066115703 + 0.9090909091b + b2 = -0.4297520661 Factor a perfect square on the left side: (b + 0.4545454546)(b + 0.4545454546) = -0.4297520661 Can't calculate square root of the right side. The solution to this equation could not be determined.
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