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Simplifying 4b2 + b + 7 = 4 Reorder the terms: 7 + b + 4b2 = 4 Solving 7 + b + 4b2 = 4 Solving for variable 'b'. Reorder the terms: 7 + -4 + b + 4b2 = 4 + -4 Combine like terms: 7 + -4 = 3 3 + b + 4b2 = 4 + -4 Combine like terms: 4 + -4 = 0 3 + b + 4b2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 0.75 + 0.25b + b2 = 0 Move the constant term to the right: Add '-0.75' to each side of the equation. 0.75 + 0.25b + -0.75 + b2 = 0 + -0.75 Reorder the terms: 0.75 + -0.75 + 0.25b + b2 = 0 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + 0.25b + b2 = 0 + -0.75 0.25b + b2 = 0 + -0.75 Combine like terms: 0 + -0.75 = -0.75 0.25b + b2 = -0.75 The b term is b. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.25b + 0.25 + b2 = -0.75 + 0.25 Reorder the terms: 0.25 + 0.25b + b2 = -0.75 + 0.25 Combine like terms: -0.75 + 0.25 = -0.5 0.25 + 0.25b + b2 = -0.5 Factor a perfect square on the left side: (b + 0.5)(b + 0.5) = -0.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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