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Simplifying 7b2 = -35b + 168 Reorder the terms: 7b2 = 168 + -35b Solving 7b2 = 168 + -35b Solving for variable 'b'. Reorder the terms: -168 + 35b + 7b2 = 168 + -35b + -168 + 35b Reorder the terms: -168 + 35b + 7b2 = 168 + -168 + -35b + 35b Combine like terms: 168 + -168 = 0 -168 + 35b + 7b2 = 0 + -35b + 35b -168 + 35b + 7b2 = -35b + 35b Combine like terms: -35b + 35b = 0 -168 + 35b + 7b2 = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(-24 + 5b + b2) = 0 Factor a trinomial. 7((-8 + -1b)(3 + -1b)) = 0 Ignore the factor 7.Subproblem 1
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 2
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 = 3Solution
b = {-8, 3}
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