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Simplifying 44b2 + -152b + -96 = 0 Reorder the terms: -96 + -152b + 44b2 = 0 Solving -96 + -152b + 44b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '4'. 4(-24 + -38b + 11b2) = 0 Factor a trinomial. 4((-6 + -11b)(4 + -1b)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-6 + -11b)' equal to zero and attempt to solve: Simplifying -6 + -11b = 0 Solving -6 + -11b = 0 Move all terms containing b to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -11b = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -11b = 0 + 6 -11b = 0 + 6 Combine like terms: 0 + 6 = 6 -11b = 6 Divide each side by '-11'. b = -0.5454545455 Simplifying b = -0.5454545455Subproblem 2
Set the factor '(4 + -1b)' equal to zero and attempt to solve: Simplifying 4 + -1b = 0 Solving 4 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1b = 0 + -4 -1b = 0 + -4 Combine like terms: 0 + -4 = -4 -1b = -4 Divide each side by '-1'. b = 4 Simplifying b = 4Solution
b = {-0.5454545455, 4}
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