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Simplifying 5b2 + 60b + 160 = 0 Reorder the terms: 160 + 60b + 5b2 = 0 Solving 160 + 60b + 5b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '5'. 5(32 + 12b + b2) = 0 Factor a trinomial. 5((8 + b)(4 + b)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(8 + b)' equal to zero and attempt to solve: Simplifying 8 + b = 0 Solving 8 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + b = 0 + -8 b = 0 + -8 Combine like terms: 0 + -8 = -8 b = -8 Simplifying b = -8Subproblem 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 = {-8, -4}
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