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Simplifying 10b2 = -8b + -7 Reorder the terms: 10b2 = -7 + -8b Solving 10b2 = -7 + -8b Solving for variable 'b'. Reorder the terms: 7 + 8b + 10b2 = -7 + -8b + 7 + 8b Reorder the terms: 7 + 8b + 10b2 = -7 + 7 + -8b + 8b Combine like terms: -7 + 7 = 0 7 + 8b + 10b2 = 0 + -8b + 8b 7 + 8b + 10b2 = -8b + 8b Combine like terms: -8b + 8b = 0 7 + 8b + 10b2 = 0 Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 0.7 + 0.8b + b2 = 0 Move the constant term to the right: Add '-0.7' to each side of the equation. 0.7 + 0.8b + -0.7 + b2 = 0 + -0.7 Reorder the terms: 0.7 + -0.7 + 0.8b + b2 = 0 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + 0.8b + b2 = 0 + -0.7 0.8b + b2 = 0 + -0.7 Combine like terms: 0 + -0.7 = -0.7 0.8b + b2 = -0.7 The b term is 0.8b. Take half its coefficient (0.4). Square it (0.16) and add it to both sides. Add '0.16' to each side of the equation. 0.8b + 0.16 + b2 = -0.7 + 0.16 Reorder the terms: 0.16 + 0.8b + b2 = -0.7 + 0.16 Combine like terms: -0.7 + 0.16 = -0.54 0.16 + 0.8b + b2 = -0.54 Factor a perfect square on the left side: (b + 0.4)(b + 0.4) = -0.54 Can't calculate square root of the right side. The solution to this equation could not be determined.
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