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Simplifying 2b2 + -6b + 7 = 0 Reorder the terms: 7 + -6b + 2b2 = 0 Solving 7 + -6b + 2b2 = 0 Solving for variable 'b'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 3.5 + -3b + b2 = 0 Move the constant term to the right: Add '-3.5' to each side of the equation. 3.5 + -3b + -3.5 + b2 = 0 + -3.5 Reorder the terms: 3.5 + -3.5 + -3b + b2 = 0 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + -3b + b2 = 0 + -3.5 -3b + b2 = 0 + -3.5 Combine like terms: 0 + -3.5 = -3.5 -3b + b2 = -3.5 The b term is -3b. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3b + 2.25 + b2 = -3.5 + 2.25 Reorder the terms: 2.25 + -3b + b2 = -3.5 + 2.25 Combine like terms: -3.5 + 2.25 = -1.25 2.25 + -3b + b2 = -1.25 Factor a perfect square on the left side: (b + -1.5)(b + -1.5) = -1.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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