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Simplifying (5b + -4)(b + 4) = 0 Reorder the terms: (-4 + 5b)(b + 4) = 0 Reorder the terms: (-4 + 5b)(4 + b) = 0 Multiply (-4 + 5b) * (4 + b) (-4(4 + b) + 5b * (4 + b)) = 0 ((4 * -4 + b * -4) + 5b * (4 + b)) = 0 ((-16 + -4b) + 5b * (4 + b)) = 0 (-16 + -4b + (4 * 5b + b * 5b)) = 0 (-16 + -4b + (20b + 5b2)) = 0 Combine like terms: -4b + 20b = 16b (-16 + 16b + 5b2) = 0 Solving -16 + 16b + 5b2 = 0 Solving for variable 'b'. Factor a trinomial. (-4 + -1b)(4 + -5b) = 0Subproblem 1
Set the factor '(-4 + -1b)' equal to zero and attempt to solve: Simplifying -4 + -1b = 0 Solving -4 + -1b = 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 + -1b = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1b = 0 + 4 -1b = 0 + 4 Combine like terms: 0 + 4 = 4 -1b = 4 Divide each side by '-1'. b = -4 Simplifying b = -4Subproblem 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 = {-4, 0.8}
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