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Simplifying 8b2 + 60b + 100 = 0 Reorder the terms: 100 + 60b + 8b2 = 0 Solving 100 + 60b + 8b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '4'. 4(25 + 15b + 2b2) = 0 Factor a trinomial. 4((5 + b)(5 + 2b)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(5 + b)' equal to zero and attempt to solve: Simplifying 5 + b = 0 Solving 5 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + b = 0 + -5 b = 0 + -5 Combine like terms: 0 + -5 = -5 b = -5 Simplifying b = -5Subproblem 2
Set the factor '(5 + 2b)' equal to zero and attempt to solve: Simplifying 5 + 2b = 0 Solving 5 + 2b = 0 Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2b = 0 + -5 2b = 0 + -5 Combine like terms: 0 + -5 = -5 2b = -5 Divide each side by '2'. b = -2.5 Simplifying b = -2.5Solution
b = {-5, -2.5}
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