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Simplifying 4b2 + 96 = 44b Reorder the terms: 96 + 4b2 = 44b Solving 96 + 4b2 = 44b Solving for variable 'b'. Reorder the terms: 96 + -44b + 4b2 = 44b + -44b Combine like terms: 44b + -44b = 0 96 + -44b + 4b2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(24 + -11b + b2) = 0 Factor a trinomial. 4((3 + -1b)(8 + -1b)) = 0 Ignore the factor 4.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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