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Simplifying b(b + 2) + 4b2 = 5b2 + 9b + 8 Reorder the terms: b(2 + b) + 4b2 = 5b2 + 9b + 8 (2 * b + b * b) + 4b2 = 5b2 + 9b + 8 (2b + b2) + 4b2 = 5b2 + 9b + 8 Combine like terms: b2 + 4b2 = 5b2 2b + 5b2 = 5b2 + 9b + 8 Reorder the terms: 2b + 5b2 = 8 + 9b + 5b2 Add '-5b2' to each side of the equation. 2b + 5b2 + -5b2 = 8 + 9b + 5b2 + -5b2 Combine like terms: 5b2 + -5b2 = 0 2b + 0 = 8 + 9b + 5b2 + -5b2 2b = 8 + 9b + 5b2 + -5b2 Combine like terms: 5b2 + -5b2 = 0 2b = 8 + 9b + 0 2b = 8 + 9b Solving 2b = 8 + 9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9b' to each side of the equation. 2b + -9b = 8 + 9b + -9b Combine like terms: 2b + -9b = -7b -7b = 8 + 9b + -9b Combine like terms: 9b + -9b = 0 -7b = 8 + 0 -7b = 8 Divide each side by '-7'. b = -1.142857143 Simplifying b = -1.142857143
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