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Simplifying 3b2 + -11b + 10 = (3b + -5)(b) Reorder the terms: 10 + -11b + 3b2 = (3b + -5)(b) Reorder the terms: 10 + -11b + 3b2 = (-5 + 3b)(b) Reorder the terms for easier multiplication: 10 + -11b + 3b2 = b(-5 + 3b) 10 + -11b + 3b2 = (-5 * b + 3b * b) 10 + -11b + 3b2 = (-5b + 3b2) Add '-3b2' to each side of the equation. 10 + -11b + 3b2 + -3b2 = -5b + 3b2 + -3b2 Combine like terms: 3b2 + -3b2 = 0 10 + -11b + 0 = -5b + 3b2 + -3b2 10 + -11b = -5b + 3b2 + -3b2 Combine like terms: 3b2 + -3b2 = 0 10 + -11b = -5b + 0 10 + -11b = -5b Solving 10 + -11b = -5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5b' to each side of the equation. 10 + -11b + 5b = -5b + 5b Combine like terms: -11b + 5b = -6b 10 + -6b = -5b + 5b Combine like terms: -5b + 5b = 0 10 + -6b = 0 Add '-10' to each side of the equation. 10 + -10 + -6b = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -6b = 0 + -10 -6b = 0 + -10 Combine like terms: 0 + -10 = -10 -6b = -10 Divide each side by '-6'. b = 1.666666667 Simplifying b = 1.666666667
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