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Simplifying -5b(2b + 1) + (11b + -1) = 0 Reorder the terms: -5b(1 + 2b) + (11b + -1) = 0 (1 * -5b + 2b * -5b) + (11b + -1) = 0 (-5b + -10b2) + (11b + -1) = 0 Reorder the terms: -5b + -10b2 + (-1 + 11b) = 0 Remove parenthesis around (-1 + 11b) -5b + -10b2 + -1 + 11b = 0 Reorder the terms: -1 + -5b + 11b + -10b2 = 0 Combine like terms: -5b + 11b = 6b -1 + 6b + -10b2 = 0 Solving -1 + 6b + -10b2 = 0 Solving for variable 'b'. Begin completing the square. Divide all terms by -10 the coefficient of the squared term: Divide each side by '-10'. 0.1 + -0.6b + b2 = 0.0 Move the constant term to the right: Add '-0.1' to each side of the equation. 0.1 + -0.6b + -0.1 + b2 = 0.0 + -0.1 Reorder the terms: 0.1 + -0.1 + -0.6b + b2 = 0.0 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + -0.6b + b2 = 0.0 + -0.1 -0.6b + b2 = 0.0 + -0.1 Combine like terms: 0.0 + -0.1 = -0.1 -0.6b + b2 = -0.1 The b term is -0.6b. Take half its coefficient (-0.3). Square it (0.09) and add it to both sides. Add '0.09' to each side of the equation. -0.6b + 0.09 + b2 = -0.1 + 0.09 Reorder the terms: 0.09 + -0.6b + b2 = -0.1 + 0.09 Combine like terms: -0.1 + 0.09 = -0.01 0.09 + -0.6b + b2 = -0.01 Factor a perfect square on the left side: (b + -0.3)(b + -0.3) = -0.01 Can't calculate square root of the right side. The solution to this equation could not be determined.
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