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Simplifying (3b + 4)(b + -5) = 0 Reorder the terms: (4 + 3b)(b + -5) = 0 Reorder the terms: (4 + 3b)(-5 + b) = 0 Multiply (4 + 3b) * (-5 + b) (4(-5 + b) + 3b * (-5 + b)) = 0 ((-5 * 4 + b * 4) + 3b * (-5 + b)) = 0 ((-20 + 4b) + 3b * (-5 + b)) = 0 (-20 + 4b + (-5 * 3b + b * 3b)) = 0 (-20 + 4b + (-15b + 3b2)) = 0 Combine like terms: 4b + -15b = -11b (-20 + -11b + 3b2) = 0 Solving -20 + -11b + 3b2 = 0 Solving for variable 'b'. Factor a trinomial. (-4 + -3b)(5 + -1b) = 0Subproblem 1
Set the factor '(-4 + -3b)' equal to zero and attempt to solve: Simplifying -4 + -3b = 0 Solving -4 + -3b = 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 + -3b = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3b = 0 + 4 -3b = 0 + 4 Combine like terms: 0 + 4 = 4 -3b = 4 Divide each side by '-3'. b = -1.333333333 Simplifying b = -1.333333333Subproblem 2
Set the factor '(5 + -1b)' equal to zero and attempt to solve: Simplifying 5 + -1b = 0 Solving 5 + -1b = 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 + -1b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1b = 0 + -5 -1b = 0 + -5 Combine like terms: 0 + -5 = -5 -1b = -5 Divide each side by '-1'. b = 5 Simplifying b = 5Solution
b = {-1.333333333, 5}
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