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Simplifying -5b2 + 2b + -9 = -3 Reorder the terms: -9 + 2b + -5b2 = -3 Solving -9 + 2b + -5b2 = -3 Solving for variable 'b'. Reorder the terms: -9 + 3 + 2b + -5b2 = -3 + 3 Combine like terms: -9 + 3 = -6 -6 + 2b + -5b2 = -3 + 3 Combine like terms: -3 + 3 = 0 -6 + 2b + -5b2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 1.2 + -0.4b + b2 = 0 Move the constant term to the right: Add '-1.2' to each side of the equation. 1.2 + -0.4b + -1.2 + b2 = 0 + -1.2 Reorder the terms: 1.2 + -1.2 + -0.4b + b2 = 0 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -0.4b + b2 = 0 + -1.2 -0.4b + b2 = 0 + -1.2 Combine like terms: 0 + -1.2 = -1.2 -0.4b + b2 = -1.2 The b term is -0.4b. Take half its coefficient (-0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. -0.4b + 0.04 + b2 = -1.2 + 0.04 Reorder the terms: 0.04 + -0.4b + b2 = -1.2 + 0.04 Combine like terms: -1.2 + 0.04 = -1.16 0.04 + -0.4b + b2 = -1.16 Factor a perfect square on the left side: (b + -0.2)(b + -0.2) = -1.16 Can't calculate square root of the right side. The solution to this equation could not be determined.
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