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Simplifying -2b(4b + 2) + (9b + -8) = 0 Reorder the terms: -2b(2 + 4b) + (9b + -8) = 0 (2 * -2b + 4b * -2b) + (9b + -8) = 0 (-4b + -8b2) + (9b + -8) = 0 Reorder the terms: -4b + -8b2 + (-8 + 9b) = 0 Remove parenthesis around (-8 + 9b) -4b + -8b2 + -8 + 9b = 0 Reorder the terms: -8 + -4b + 9b + -8b2 = 0 Combine like terms: -4b + 9b = 5b -8 + 5b + -8b2 = 0 Solving -8 + 5b + -8b2 = 0 Solving for variable 'b'. Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. 1 + -0.625b + b2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -0.625b + -1 + b2 = 0 + -1 Reorder the terms: 1 + -1 + -0.625b + b2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.625b + b2 = 0 + -1 -0.625b + b2 = 0 + -1 Combine like terms: 0 + -1 = -1 -0.625b + b2 = -1 The b term is -0.625b. Take half its coefficient (-0.3125). Square it (0.09765625) and add it to both sides. Add '0.09765625' to each side of the equation. -0.625b + 0.09765625 + b2 = -1 + 0.09765625 Reorder the terms: 0.09765625 + -0.625b + b2 = -1 + 0.09765625 Combine like terms: -1 + 0.09765625 = -0.90234375 0.09765625 + -0.625b + b2 = -0.90234375 Factor a perfect square on the left side: (b + -0.3125)(b + -0.3125) = -0.90234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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