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Simplifying 8b2 + -6b + -20 = 0 Reorder the terms: -20 + -6b + 8b2 = 0 Solving -20 + -6b + 8b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2'. 2(-10 + -3b + 4b2) = 0 Factor a trinomial. 2((-5 + -4b)(2 + -1b)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + -4b)' equal to zero and attempt to solve: Simplifying -5 + -4b = 0 Solving -5 + -4b = 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 + -4b = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4b = 0 + 5 -4b = 0 + 5 Combine like terms: 0 + 5 = 5 -4b = 5 Divide each side by '-4'. b = -1.25 Simplifying b = -1.25Subproblem 2
Set the factor '(2 + -1b)' equal to zero and attempt to solve: Simplifying 2 + -1b = 0 Solving 2 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1b = 0 + -2 -1b = 0 + -2 Combine like terms: 0 + -2 = -2 -1b = -2 Divide each side by '-1'. b = 2 Simplifying b = 2Solution
b = {-1.25, 2}
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