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Simplifying 10b2 + 4b + 9 = 0 Reorder the terms: 9 + 4b + 10b2 = 0 Solving 9 + 4b + 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'. 0.9 + 0.4b + b2 = 0 Move the constant term to the right: Add '-0.9' to each side of the equation. 0.9 + 0.4b + -0.9 + b2 = 0 + -0.9 Reorder the terms: 0.9 + -0.9 + 0.4b + b2 = 0 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + 0.4b + b2 = 0 + -0.9 0.4b + b2 = 0 + -0.9 Combine like terms: 0 + -0.9 = -0.9 0.4b + b2 = -0.9 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 = -0.9 + 0.04 Reorder the terms: 0.04 + 0.4b + b2 = -0.9 + 0.04 Combine like terms: -0.9 + 0.04 = -0.86 0.04 + 0.4b + b2 = -0.86 Factor a perfect square on the left side: (b + 0.2)(b + 0.2) = -0.86 Can't calculate square root of the right side. The solution to this equation could not be determined.
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