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Simplifying 3b3 + 22b2 + -80b = 0 Reorder the terms: -80b + 22b2 + 3b3 = 0 Solving -80b + 22b2 + 3b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'b'. b(-80 + 22b + 3b2) = 0 Factor a trinomial. b((-10 + -1b)(8 + -3b)) = 0Subproblem 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 '(-10 + -1b)' equal to zero and attempt to solve: Simplifying -10 + -1b = 0 Solving -10 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1b = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1b = 0 + 10 -1b = 0 + 10 Combine like terms: 0 + 10 = 10 -1b = 10 Divide each side by '-1'. b = -10 Simplifying b = -10Subproblem 3
Set the factor '(8 + -3b)' equal to zero and attempt to solve: Simplifying 8 + -3b = 0 Solving 8 + -3b = 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 + -3b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3b = 0 + -8 -3b = 0 + -8 Combine like terms: 0 + -8 = -8 -3b = -8 Divide each side by '-3'. b = 2.666666667 Simplifying b = 2.666666667Solution
b = {0, -10, 2.666666667}
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