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Simplifying 5b2 + 60b + 55 = 0 Reorder the terms: 55 + 60b + 5b2 = 0 Solving 55 + 60b + 5b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '5'. 5(11 + 12b + b2) = 0 Factor a trinomial. 5((11 + b)(1 + b)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(11 + b)' equal to zero and attempt to solve: Simplifying 11 + b = 0 Solving 11 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + b = 0 + -11 Combine like terms: 11 + -11 = 0 0 + b = 0 + -11 b = 0 + -11 Combine like terms: 0 + -11 = -11 b = -11 Simplifying b = -11Subproblem 2
Set the factor '(1 + b)' equal to zero and attempt to solve: Simplifying 1 + b = 0 Solving 1 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + b = 0 + -1 b = 0 + -1 Combine like terms: 0 + -1 = -1 b = -1 Simplifying b = -1Solution
b = {-11, -1}
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