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Simplifying 2(b + -3)(b + -8) = 0 Reorder the terms: 2(-3 + b)(b + -8) = 0 Reorder the terms: 2(-3 + b)(-8 + b) = 0 Multiply (-3 + b) * (-8 + b) 2(-3(-8 + b) + b(-8 + b)) = 0 2((-8 * -3 + b * -3) + b(-8 + b)) = 0 2((24 + -3b) + b(-8 + b)) = 0 2(24 + -3b + (-8 * b + b * b)) = 0 2(24 + -3b + (-8b + b2)) = 0 Combine like terms: -3b + -8b = -11b 2(24 + -11b + b2) = 0 (24 * 2 + -11b * 2 + b2 * 2) = 0 (48 + -22b + 2b2) = 0 Solving 48 + -22b + 2b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2'. 2(24 + -11b + b2) = 0 Factor a trinomial. 2((3 + -1b)(8 + -1b)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + -1b)' equal to zero and attempt to solve: Simplifying 3 + -1b = 0 Solving 3 + -1b = 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 + -1b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1b = 0 + -3 -1b = 0 + -3 Combine like terms: 0 + -3 = -3 -1b = -3 Divide each side by '-1'. b = 3 Simplifying b = 3Subproblem 2
Set the factor '(8 + -1b)' equal to zero and attempt to solve: Simplifying 8 + -1b = 0 Solving 8 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1b = 0 + -8 -1b = 0 + -8 Combine like terms: 0 + -8 = -8 -1b = -8 Divide each side by '-1'. b = 8 Simplifying b = 8Solution
b = {3, 8}
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