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Simplifying (b + 5)(b + -11) = 0 Reorder the terms: (5 + b)(b + -11) = 0 Reorder the terms: (5 + b)(-11 + b) = 0 Multiply (5 + b) * (-11 + b) (5(-11 + b) + b(-11 + b)) = 0 ((-11 * 5 + b * 5) + b(-11 + b)) = 0 ((-55 + 5b) + b(-11 + b)) = 0 (-55 + 5b + (-11 * b + b * b)) = 0 (-55 + 5b + (-11b + b2)) = 0 Combine like terms: 5b + -11b = -6b (-55 + -6b + b2) = 0 Solving -55 + -6b + b2 = 0 Solving for variable 'b'. Factor a trinomial. (-5 + -1b)(11 + -1b) = 0Subproblem 1
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 = -5Subproblem 2
Set the factor '(11 + -1b)' equal to zero and attempt to solve: Simplifying 11 + -1b = 0 Solving 11 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1b = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1b = 0 + -11 -1b = 0 + -11 Combine like terms: 0 + -11 = -11 -1b = -11 Divide each side by '-1'. b = 11 Simplifying b = 11Solution
b = {-5, 11}
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