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Simplifying 0 = b2 + 9b + 14 Reorder the terms: 0 = 14 + 9b + b2 Solving 0 = 14 + 9b + b2 Solving for variable 'b'. Combine like terms: 0 + -14 = -14 -14 + -9b + -1b2 = 14 + 9b + b2 + -14 + -9b + -1b2 Reorder the terms: -14 + -9b + -1b2 = 14 + -14 + 9b + -9b + b2 + -1b2 Combine like terms: 14 + -14 = 0 -14 + -9b + -1b2 = 0 + 9b + -9b + b2 + -1b2 -14 + -9b + -1b2 = 9b + -9b + b2 + -1b2 Combine like terms: 9b + -9b = 0 -14 + -9b + -1b2 = 0 + b2 + -1b2 -14 + -9b + -1b2 = b2 + -1b2 Combine like terms: b2 + -1b2 = 0 -14 + -9b + -1b2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(14 + 9b + b2) = 0 Factor a trinomial. -1((7 + b)(2 + b)) = 0 Ignore the factor -1.Subproblem 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 '(2 + b)' equal to zero and attempt to solve: Simplifying 2 + b = 0 Solving 2 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + b = 0 + -2 b = 0 + -2 Combine like terms: 0 + -2 = -2 b = -2 Simplifying b = -2Solution
b = {-7, -2}
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