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Simplifying 10b2 + -9b + 3 = 0 Reorder the terms: 3 + -9b + 10b2 = 0 Solving 3 + -9b + 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'. 0.3 + -0.9b + b2 = 0 Move the constant term to the right: Add '-0.3' to each side of the equation. 0.3 + -0.9b + -0.3 + b2 = 0 + -0.3 Reorder the terms: 0.3 + -0.3 + -0.9b + b2 = 0 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + -0.9b + b2 = 0 + -0.3 -0.9b + b2 = 0 + -0.3 Combine like terms: 0 + -0.3 = -0.3 -0.9b + b2 = -0.3 The b term is -0.9b. Take half its coefficient (-0.45). Square it (0.2025) and add it to both sides. Add '0.2025' to each side of the equation. -0.9b + 0.2025 + b2 = -0.3 + 0.2025 Reorder the terms: 0.2025 + -0.9b + b2 = -0.3 + 0.2025 Combine like terms: -0.3 + 0.2025 = -0.0975 0.2025 + -0.9b + b2 = -0.0975 Factor a perfect square on the left side: (b + -0.45)(b + -0.45) = -0.0975 Can't calculate square root of the right side. The solution to this equation could not be determined.
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