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Simplifying (8b + -5)(b + -8) = 0 Reorder the terms: (-5 + 8b)(b + -8) = 0 Reorder the terms: (-5 + 8b)(-8 + b) = 0 Multiply (-5 + 8b) * (-8 + b) (-5(-8 + b) + 8b * (-8 + b)) = 0 ((-8 * -5 + b * -5) + 8b * (-8 + b)) = 0 ((40 + -5b) + 8b * (-8 + b)) = 0 (40 + -5b + (-8 * 8b + b * 8b)) = 0 (40 + -5b + (-64b + 8b2)) = 0 Combine like terms: -5b + -64b = -69b (40 + -69b + 8b2) = 0 Solving 40 + -69b + 8b2 = 0 Solving for variable 'b'. Factor a trinomial. (5 + -8b)(8 + -1b) = 0Subproblem 1
Set the factor '(5 + -8b)' equal to zero and attempt to solve: Simplifying 5 + -8b = 0 Solving 5 + -8b = 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 + -8b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8b = 0 + -5 -8b = 0 + -5 Combine like terms: 0 + -5 = -5 -8b = -5 Divide each side by '-8'. b = 0.625 Simplifying b = 0.625Subproblem 2
Set the factor '(8 + -1b)' equal to zero and attempt to solve: Simplifying 8 + -1b = 0 Solving 8 + -1b = 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 + -1b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1b = 0 + -8 -1b = 0 + -8 Combine like terms: 0 + -8 = -8 -1b = -8 Divide each side by '-1'. b = 8 Simplifying b = 8Solution
b = {0.625, 8}
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