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Simplifying 36b3 + -304b2 + 128b = 0 Reorder the terms: 128b + -304b2 + 36b3 = 0 Solving 128b + -304b2 + 36b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '4b'. 4b(32 + -76b + 9b2) = 0 Factor a trinomial. 4b((4 + -9b)(8 + -1b)) = 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 '(4 + -9b)' equal to zero and attempt to solve: Simplifying 4 + -9b = 0 Solving 4 + -9b = 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 + -9b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9b = 0 + -4 -9b = 0 + -4 Combine like terms: 0 + -4 = -4 -9b = -4 Divide each side by '-9'. b = 0.4444444444 Simplifying b = 0.4444444444Subproblem 3
Set the factor '(8 + -1b)' equal to zero and attempt to solve: Simplifying 8 + -1b = 0 Solving 8 + -1b = 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 + -1b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1b = 0 + -8 -1b = 0 + -8 Combine like terms: 0 + -8 = -8 -1b = -8 Divide each side by '-1'. b = 8 Simplifying b = 8Solution
b = {0, 0.4444444444, 8}
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