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Simplifying 2b3 + 72b = 26b2 Reorder the terms: 72b + 2b3 = 26b2 Solving 72b + 2b3 = 26b2 Solving for variable 'b'. Reorder the terms: 72b + -26b2 + 2b3 = 26b2 + -26b2 Combine like terms: 26b2 + -26b2 = 0 72b + -26b2 + 2b3 = 0 Factor out the Greatest Common Factor (GCF), '2b'. 2b(36 + -13b + b2) = 0 Factor a trinomial. 2b((4 + -1b)(9 + -1b)) = 0 Ignore the factor 2.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 + -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 = 4Subproblem 3
Set the factor '(9 + -1b)' equal to zero and attempt to solve: Simplifying 9 + -1b = 0 Solving 9 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1b = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1b = 0 + -9 -1b = 0 + -9 Combine like terms: 0 + -9 = -9 -1b = -9 Divide each side by '-1'. b = 9 Simplifying b = 9Solution
b = {0, 4, 9}
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