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Simplifying (b + 8)(6b + -5) = 0 Reorder the terms: (8 + b)(6b + -5) = 0 Reorder the terms: (8 + b)(-5 + 6b) = 0 Multiply (8 + b) * (-5 + 6b) (8(-5 + 6b) + b(-5 + 6b)) = 0 ((-5 * 8 + 6b * 8) + b(-5 + 6b)) = 0 ((-40 + 48b) + b(-5 + 6b)) = 0 (-40 + 48b + (-5 * b + 6b * b)) = 0 (-40 + 48b + (-5b + 6b2)) = 0 Combine like terms: 48b + -5b = 43b (-40 + 43b + 6b2) = 0 Solving -40 + 43b + 6b2 = 0 Solving for variable 'b'. Factor a trinomial. (-8 + -1b)(5 + -6b) = 0Subproblem 1
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 = -8Subproblem 2
Set the factor '(5 + -6b)' equal to zero and attempt to solve: Simplifying 5 + -6b = 0 Solving 5 + -6b = 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 + -6b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6b = 0 + -5 -6b = 0 + -5 Combine like terms: 0 + -5 = -5 -6b = -5 Divide each side by '-6'. b = 0.8333333333 Simplifying b = 0.8333333333Solution
b = {-8, 0.8333333333}
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