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Simplifying (-6b + 5)(b + -5) = 0 Reorder the terms: (5 + -6b)(b + -5) = 0 Reorder the terms: (5 + -6b)(-5 + b) = 0 Multiply (5 + -6b) * (-5 + b) (5(-5 + b) + -6b * (-5 + b)) = 0 ((-5 * 5 + b * 5) + -6b * (-5 + b)) = 0 ((-25 + 5b) + -6b * (-5 + b)) = 0 (-25 + 5b + (-5 * -6b + b * -6b)) = 0 (-25 + 5b + (30b + -6b2)) = 0 Combine like terms: 5b + 30b = 35b (-25 + 35b + -6b2) = 0 Solving -25 + 35b + -6b2 = 0 Solving for variable 'b'. Factor a trinomial. (-5 + b)(5 + -6b) = 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 '(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 = {5, 0.8333333333}
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