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Simplifying 20b2 + 29b + 11 = -7 Reorder the terms: 11 + 29b + 20b2 = -7 Solving 11 + 29b + 20b2 = -7 Solving for variable 'b'. Reorder the terms: 11 + 7 + 29b + 20b2 = -7 + 7 Combine like terms: 11 + 7 = 18 18 + 29b + 20b2 = -7 + 7 Combine like terms: -7 + 7 = 0 18 + 29b + 20b2 = 0 Begin completing the square. Divide all terms by 20 the coefficient of the squared term: Divide each side by '20'. 0.9 + 1.45b + b2 = 0 Move the constant term to the right: Add '-0.9' to each side of the equation. 0.9 + 1.45b + -0.9 + b2 = 0 + -0.9 Reorder the terms: 0.9 + -0.9 + 1.45b + b2 = 0 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + 1.45b + b2 = 0 + -0.9 1.45b + b2 = 0 + -0.9 Combine like terms: 0 + -0.9 = -0.9 1.45b + b2 = -0.9 The b term is 1.45b. Take half its coefficient (0.725). Square it (0.525625) and add it to both sides. Add '0.525625' to each side of the equation. 1.45b + 0.525625 + b2 = -0.9 + 0.525625 Reorder the terms: 0.525625 + 1.45b + b2 = -0.9 + 0.525625 Combine like terms: -0.9 + 0.525625 = -0.374375 0.525625 + 1.45b + b2 = -0.374375 Factor a perfect square on the left side: (b + 0.725)(b + 0.725) = -0.374375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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