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Simplifying (b + 5)(5b + 4) = 0 Reorder the terms: (5 + b)(5b + 4) = 0 Reorder the terms: (5 + b)(4 + 5b) = 0 Multiply (5 + b) * (4 + 5b) (5(4 + 5b) + b(4 + 5b)) = 0 ((4 * 5 + 5b * 5) + b(4 + 5b)) = 0 ((20 + 25b) + b(4 + 5b)) = 0 (20 + 25b + (4 * b + 5b * b)) = 0 (20 + 25b + (4b + 5b2)) = 0 Combine like terms: 25b + 4b = 29b (20 + 29b + 5b2) = 0 Solving 20 + 29b + 5b2 = 0 Solving for variable 'b'. Factor a trinomial. (5 + b)(4 + 5b) = 0Subproblem 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 '(4 + 5b)' equal to zero and attempt to solve: Simplifying 4 + 5b = 0 Solving 4 + 5b = 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 + 5b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5b = 0 + -4 5b = 0 + -4 Combine like terms: 0 + -4 = -4 5b = -4 Divide each side by '5'. b = -0.8 Simplifying b = -0.8Solution
b = {-5, -0.8}
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