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Simplifying 8b2 + 80b = -128 Reorder the terms: 80b + 8b2 = -128 Solving 80b + 8b2 = -128 Solving for variable 'b'. Reorder the terms: 128 + 80b + 8b2 = -128 + 128 Combine like terms: -128 + 128 = 0 128 + 80b + 8b2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(16 + 10b + b2) = 0 Factor a trinomial. 8((8 + b)(2 + b)) = 0 Ignore the factor 8.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 '(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 = {-8, -2}
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