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Simplifying 2b2 + 10 = -17b + -11 Reorder the terms: 10 + 2b2 = -17b + -11 Reorder the terms: 10 + 2b2 = -11 + -17b Solving 10 + 2b2 = -11 + -17b Solving for variable 'b'. Reorder the terms: 10 + 11 + 17b + 2b2 = -11 + -17b + 11 + 17b Combine like terms: 10 + 11 = 21 21 + 17b + 2b2 = -11 + -17b + 11 + 17b Reorder the terms: 21 + 17b + 2b2 = -11 + 11 + -17b + 17b Combine like terms: -11 + 11 = 0 21 + 17b + 2b2 = 0 + -17b + 17b 21 + 17b + 2b2 = -17b + 17b Combine like terms: -17b + 17b = 0 21 + 17b + 2b2 = 0 Factor a trinomial. (7 + b)(3 + 2b) = 0Subproblem 1
Set the factor '(7 + b)' equal to zero and attempt to solve: Simplifying 7 + b = 0 Solving 7 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + b = 0 + -7 b = 0 + -7 Combine like terms: 0 + -7 = -7 b = -7 Simplifying b = -7Subproblem 2
Set the factor '(3 + 2b)' equal to zero and attempt to solve: Simplifying 3 + 2b = 0 Solving 3 + 2b = 0 Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2b = 0 + -3 2b = 0 + -3 Combine like terms: 0 + -3 = -3 2b = -3 Divide each side by '2'. b = -1.5 Simplifying b = -1.5Solution
b = {-7, -1.5}
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