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Simplifying 44b2 + -208b + -60 = 0 Reorder the terms: -60 + -208b + 44b2 = 0 Solving -60 + -208b + 44b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '4'. 4(-15 + -52b + 11b2) = 0 Factor a trinomial. 4((-3 + -11b)(5 + -1b)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-3 + -11b)' equal to zero and attempt to solve: Simplifying -3 + -11b = 0 Solving -3 + -11b = 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 + -11b = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -11b = 0 + 3 -11b = 0 + 3 Combine like terms: 0 + 3 = 3 -11b = 3 Divide each side by '-11'. b = -0.2727272727 Simplifying b = -0.2727272727Subproblem 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 = {-0.2727272727, 5}
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