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Simplifying (b + 2)(b + -5) = 0 Reorder the terms: (2 + b)(b + -5) = 0 Reorder the terms: (2 + b)(-5 + b) = 0 Multiply (2 + b) * (-5 + b) (2(-5 + b) + b(-5 + b)) = 0 ((-5 * 2 + b * 2) + b(-5 + b)) = 0 ((-10 + 2b) + b(-5 + b)) = 0 (-10 + 2b + (-5 * b + b * b)) = 0 (-10 + 2b + (-5b + b2)) = 0 Combine like terms: 2b + -5b = -3b (-10 + -3b + b2) = 0 Solving -10 + -3b + b2 = 0 Solving for variable 'b'. Factor a trinomial. (-2 + -1b)(5 + -1b) = 0Subproblem 1
Set the factor '(-2 + -1b)' equal to zero and attempt to solve: Simplifying -2 + -1b = 0 Solving -2 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1b = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1b = 0 + 2 -1b = 0 + 2 Combine like terms: 0 + 2 = 2 -1b = 2 Divide each side by '-1'. b = -2 Simplifying b = -2Subproblem 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 = {-2, 5}
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