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Simplifying 4b2 = -12 + b Solving 4b2 = -12 + b Solving for variable 'b'. Reorder the terms: 12 + -1b + 4b2 = -12 + b + 12 + -1b Reorder the terms: 12 + -1b + 4b2 = -12 + 12 + b + -1b Combine like terms: -12 + 12 = 0 12 + -1b + 4b2 = 0 + b + -1b 12 + -1b + 4b2 = b + -1b Combine like terms: b + -1b = 0 12 + -1b + 4b2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 3 + -0.25b + b2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + -0.25b + -3 + b2 = 0 + -3 Reorder the terms: 3 + -3 + -0.25b + b2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -0.25b + b2 = 0 + -3 -0.25b + b2 = 0 + -3 Combine like terms: 0 + -3 = -3 -0.25b + b2 = -3 The b term is -0.25b. Take half its coefficient (-0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. -0.25b + 0.015625 + b2 = -3 + 0.015625 Reorder the terms: 0.015625 + -0.25b + b2 = -3 + 0.015625 Combine like terms: -3 + 0.015625 = -2.984375 0.015625 + -0.25b + b2 = -2.984375 Factor a perfect square on the left side: (b + -0.125)(b + -0.125) = -2.984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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