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Simplifying 55b2 + -195b + -100 = 0 Reorder the terms: -100 + -195b + 55b2 = 0 Solving -100 + -195b + 55b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '5'. 5(-20 + -39b + 11b2) = 0 Factor a trinomial. 5((-5 + -11b)(4 + -1b)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-5 + -11b)' equal to zero and attempt to solve: Simplifying -5 + -11b = 0 Solving -5 + -11b = 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 + -11b = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -11b = 0 + 5 -11b = 0 + 5 Combine like terms: 0 + 5 = 5 -11b = 5 Divide each side by '-11'. b = -0.4545454545 Simplifying b = -0.4545454545Subproblem 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 = {-0.4545454545, 4}
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