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Simplifying (5b + 3)(b + -5) = 0 Reorder the terms: (3 + 5b)(b + -5) = 0 Reorder the terms: (3 + 5b)(-5 + b) = 0 Multiply (3 + 5b) * (-5 + b) (3(-5 + b) + 5b * (-5 + b)) = 0 ((-5 * 3 + b * 3) + 5b * (-5 + b)) = 0 ((-15 + 3b) + 5b * (-5 + b)) = 0 (-15 + 3b + (-5 * 5b + b * 5b)) = 0 (-15 + 3b + (-25b + 5b2)) = 0 Combine like terms: 3b + -25b = -22b (-15 + -22b + 5b2) = 0 Solving -15 + -22b + 5b2 = 0 Solving for variable 'b'. Factor a trinomial. (-3 + -5b)(5 + -1b) = 0Subproblem 1
Set the factor '(-3 + -5b)' equal to zero and attempt to solve: Simplifying -3 + -5b = 0 Solving -3 + -5b = 0 Move all terms containing b to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -5b = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5b = 0 + 3 -5b = 0 + 3 Combine like terms: 0 + 3 = 3 -5b = 3 Divide each side by '-5'. b = -0.6 Simplifying b = -0.6Subproblem 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 = {-0.6, 5}
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