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Simplifying 80b3 + 52b2 + -60b = 0 Reorder the terms: -60b + 52b2 + 80b3 = 0 Solving -60b + 52b2 + 80b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '4b'. 4b(-15 + 13b + 20b2) = 0 Factor a trinomial. 4b((-5 + -4b)(3 + -5b)) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b = 0Subproblem 2
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 3
Set the factor '(3 + -5b)' equal to zero and attempt to solve: Simplifying 3 + -5b = 0 Solving 3 + -5b = 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 + -5b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5b = 0 + -3 -5b = 0 + -3 Combine like terms: 0 + -3 = -3 -5b = -3 Divide each side by '-5'. b = 0.6 Simplifying b = 0.6Solution
b = {0, -1.25, 0.6}
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