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Simplifying 4b2 + 3b + 4 = 0 Reorder the terms: 4 + 3b + 4b2 = 0 Solving 4 + 3b + 4b2 = 0 Solving for variable 'b'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 1 + 0.75b + b2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 0.75b + -1 + b2 = 0 + -1 Reorder the terms: 1 + -1 + 0.75b + b2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 0.75b + b2 = 0 + -1 0.75b + b2 = 0 + -1 Combine like terms: 0 + -1 = -1 0.75b + b2 = -1 The b term is 0.75b. Take half its coefficient (0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. 0.75b + 0.140625 + b2 = -1 + 0.140625 Reorder the terms: 0.140625 + 0.75b + b2 = -1 + 0.140625 Combine like terms: -1 + 0.140625 = -0.859375 0.140625 + 0.75b + b2 = -0.859375 Factor a perfect square on the left side: (b + 0.375)(b + 0.375) = -0.859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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