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Simplifying 5b4 + 60b3 + 180b2 = 0 Reorder the terms: 180b2 + 60b3 + 5b4 = 0 Solving 180b2 + 60b3 + 5b4 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '5b2'. 5b2(36 + 12b + b2) = 0 Factor a trinomial. 5b2((6 + b)(6 + b)) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'b2' equal to zero and attempt to solve: Simplifying b2 = 0 Solving b2 = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b2 = 0 Take the square root of each side: b = {0}Subproblem 2
Set the factor '(6 + b)' equal to zero and attempt to solve: Simplifying 6 + b = 0 Solving 6 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + b = 0 + -6 Combine like terms: 6 + -6 = 0 0 + b = 0 + -6 b = 0 + -6 Combine like terms: 0 + -6 = -6 b = -6 Simplifying b = -6Subproblem 3
Set the factor '(6 + b)' equal to zero and attempt to solve: Simplifying 6 + b = 0 Solving 6 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + b = 0 + -6 Combine like terms: 6 + -6 = 0 0 + b = 0 + -6 b = 0 + -6 Combine like terms: 0 + -6 = -6 b = -6 Simplifying b = -6Solution
b = {0, -6, -6}
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