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Simplifying b2 + 56 + -35 = 3b Reorder the terms: 56 + -35 + b2 = 3b Combine like terms: 56 + -35 = 21 21 + b2 = 3b Solving 21 + b2 = 3b Solving for variable 'b'. Reorder the terms: 21 + -3b + b2 = 3b + -3b Combine like terms: 3b + -3b = 0 21 + -3b + b2 = 0 Begin completing the square. Move the constant term to the right: Add '-21' to each side of the equation. 21 + -3b + -21 + b2 = 0 + -21 Reorder the terms: 21 + -21 + -3b + b2 = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -3b + b2 = 0 + -21 -3b + b2 = 0 + -21 Combine like terms: 0 + -21 = -21 -3b + b2 = -21 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 = -21 + 2.25 Reorder the terms: 2.25 + -3b + b2 = -21 + 2.25 Combine like terms: -21 + 2.25 = -18.75 2.25 + -3b + b2 = -18.75 Factor a perfect square on the left side: (b + -1.5)(b + -1.5) = -18.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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