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Simplifying 5b2 + 10b + 12 = 0 Reorder the terms: 12 + 10b + 5b2 = 0 Solving 12 + 10b + 5b2 = 0 Solving for variable 'b'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 2.4 + 2b + b2 = 0 Move the constant term to the right: Add '-2.4' to each side of the equation. 2.4 + 2b + -2.4 + b2 = 0 + -2.4 Reorder the terms: 2.4 + -2.4 + 2b + b2 = 0 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + 2b + b2 = 0 + -2.4 2b + b2 = 0 + -2.4 Combine like terms: 0 + -2.4 = -2.4 2b + b2 = -2.4 The b term is 2b. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2b + 1 + b2 = -2.4 + 1 Reorder the terms: 1 + 2b + b2 = -2.4 + 1 Combine like terms: -2.4 + 1 = -1.4 1 + 2b + b2 = -1.4 Factor a perfect square on the left side: (b + 1)(b + 1) = -1.4 Can't calculate square root of the right side. The solution to this equation could not be determined.
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