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Simplifying 16b2 + -13b + 3 = -3 Reorder the terms: 3 + -13b + 16b2 = -3 Solving 3 + -13b + 16b2 = -3 Solving for variable 'b'. Reorder the terms: 3 + 3 + -13b + 16b2 = -3 + 3 Combine like terms: 3 + 3 = 6 6 + -13b + 16b2 = -3 + 3 Combine like terms: -3 + 3 = 0 6 + -13b + 16b2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.375 + -0.8125b + b2 = 0 Move the constant term to the right: Add '-0.375' to each side of the equation. 0.375 + -0.8125b + -0.375 + b2 = 0 + -0.375 Reorder the terms: 0.375 + -0.375 + -0.8125b + b2 = 0 + -0.375 Combine like terms: 0.375 + -0.375 = 0.000 0.000 + -0.8125b + b2 = 0 + -0.375 -0.8125b + b2 = 0 + -0.375 Combine like terms: 0 + -0.375 = -0.375 -0.8125b + b2 = -0.375 The b term is -0.8125b. Take half its coefficient (-0.40625). Square it (0.1650390625) and add it to both sides. Add '0.1650390625' to each side of the equation. -0.8125b + 0.1650390625 + b2 = -0.375 + 0.1650390625 Reorder the terms: 0.1650390625 + -0.8125b + b2 = -0.375 + 0.1650390625 Combine like terms: -0.375 + 0.1650390625 = -0.2099609375 0.1650390625 + -0.8125b + b2 = -0.2099609375 Factor a perfect square on the left side: (b + -0.40625)(b + -0.40625) = -0.2099609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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