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Simplifying 12b6 + 22b5 + 8b4 = 0 Reorder the terms: 8b4 + 22b5 + 12b6 = 0 Solving 8b4 + 22b5 + 12b6 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2b4'. 2b4(4 + 11b + 6b2) = 0 Factor a trinomial. 2b4((4 + 3b)(1 + 2b)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'b4' equal to zero and attempt to solve: Simplifying b4 = 0 Solving b4 = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(4 + 3b)' equal to zero and attempt to solve: Simplifying 4 + 3b = 0 Solving 4 + 3b = 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 + 3b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3b = 0 + -4 3b = 0 + -4 Combine like terms: 0 + -4 = -4 3b = -4 Divide each side by '3'. b = -1.333333333 Simplifying b = -1.333333333Subproblem 3
Set the factor '(1 + 2b)' equal to zero and attempt to solve: Simplifying 1 + 2b = 0 Solving 1 + 2b = 0 Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2b = 0 + -1 2b = 0 + -1 Combine like terms: 0 + -1 = -1 2b = -1 Divide each side by '2'. b = -0.5 Simplifying b = -0.5Solution
b = {-1.333333333, -0.5}
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