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Simplifying 22b2 + -108b + -10 = 0 Reorder the terms: -10 + -108b + 22b2 = 0 Solving -10 + -108b + 22b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2'. 2(-5 + -54b + 11b2) = 0 Factor a trinomial. 2((-1 + -11b)(5 + -1b)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -11b)' equal to zero and attempt to solve: Simplifying -1 + -11b = 0 Solving -1 + -11b = 0 Move all terms containing b to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -11b = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -11b = 0 + 1 -11b = 0 + 1 Combine like terms: 0 + 1 = 1 -11b = 1 Divide each side by '-11'. b = -0.09090909091 Simplifying b = -0.09090909091Subproblem 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 = {-0.09090909091, 5}
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