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Simplifying 8b2 + 104b = -320 Reorder the terms: 104b + 8b2 = -320 Solving 104b + 8b2 = -320 Solving for variable 'b'. Reorder the terms: 320 + 104b + 8b2 = -320 + 320 Combine like terms: -320 + 320 = 0 320 + 104b + 8b2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(40 + 13b + b2) = 0 Factor a trinomial. 8((8 + b)(5 + 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 '(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 = -5Solution
b = {-8, -5}
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