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Simplifying 2b(b + -7)(b + 8) = 0 Reorder the terms: 2b(-7 + b)(b + 8) = 0 Reorder the terms: 2b(-7 + b)(8 + b) = 0 Multiply (-7 + b) * (8 + b) 2b(-7(8 + b) + b(8 + b)) = 0 2b((8 * -7 + b * -7) + b(8 + b)) = 0 2b((-56 + -7b) + b(8 + b)) = 0 2b(-56 + -7b + (8 * b + b * b)) = 0 2b(-56 + -7b + (8b + b2)) = 0 Combine like terms: -7b + 8b = 1b 2b(-56 + 1b + b2) = 0 (-56 * 2b + 1b * 2b + b2 * 2b) = 0 (-112b + 2b2 + 2b3) = 0 Solving -112b + 2b2 + 2b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2b'. 2b(-56 + b + b2) = 0 Factor a trinomial. 2b((-8 + -1b)(7 + -1b)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b = 0Subproblem 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 = -8Subproblem 3
Set the factor '(7 + -1b)' equal to zero and attempt to solve: Simplifying 7 + -1b = 0 Solving 7 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1b = 0 + -7 -1b = 0 + -7 Combine like terms: 0 + -7 = -7 -1b = -7 Divide each side by '-1'. b = 7 Simplifying b = 7Solution
b = {0, -8, 7}
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