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Simplifying b2 + 14b + 33 = -7 Reorder the terms: 33 + 14b + b2 = -7 Solving 33 + 14b + b2 = -7 Solving for variable 'b'. Reorder the terms: 33 + 7 + 14b + b2 = -7 + 7 Combine like terms: 33 + 7 = 40 40 + 14b + b2 = -7 + 7 Combine like terms: -7 + 7 = 0 40 + 14b + b2 = 0 Factor a trinomial. (10 + b)(4 + b) = 0Subproblem 1
Set the factor '(10 + b)' equal to zero and attempt to solve: Simplifying 10 + b = 0 Solving 10 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + b = 0 + -10 Combine like terms: 10 + -10 = 0 0 + b = 0 + -10 b = 0 + -10 Combine like terms: 0 + -10 = -10 b = -10 Simplifying b = -10Subproblem 2
Set the factor '(4 + b)' equal to zero and attempt to solve: Simplifying 4 + b = 0 Solving 4 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + b = 0 + -4 b = 0 + -4 Combine like terms: 0 + -4 = -4 b = -4 Simplifying b = -4Solution
b = {-10, -4}
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