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Simplifying 16b2 + -4b + 25 = 0 Reorder the terms: 25 + -4b + 16b2 = 0 Solving 25 + -4b + 16b2 = 0 Solving for variable 'b'. Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 1.5625 + -0.25b + b2 = 0 Move the constant term to the right: Add '-1.5625' to each side of the equation. 1.5625 + -0.25b + -1.5625 + b2 = 0 + -1.5625 Reorder the terms: 1.5625 + -1.5625 + -0.25b + b2 = 0 + -1.5625 Combine like terms: 1.5625 + -1.5625 = 0.0000 0.0000 + -0.25b + b2 = 0 + -1.5625 -0.25b + b2 = 0 + -1.5625 Combine like terms: 0 + -1.5625 = -1.5625 -0.25b + b2 = -1.5625 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 = -1.5625 + 0.015625 Reorder the terms: 0.015625 + -0.25b + b2 = -1.5625 + 0.015625 Combine like terms: -1.5625 + 0.015625 = -1.546875 0.015625 + -0.25b + b2 = -1.546875 Factor a perfect square on the left side: (b + -0.125)(b + -0.125) = -1.546875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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