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Simplifying 0 = 6b3 + -28b + 30b Reorder the terms: 0 = -28b + 30b + 6b3 Combine like terms: -28b + 30b = 2b 0 = 2b + 6b3 Solving 0 = 2b + 6b3 Solving for variable 'b'. Remove the zero: -2b + -6b3 = 2b + 6b3 + -2b + -6b3 Reorder the terms: -2b + -6b3 = 2b + -2b + 6b3 + -6b3 Combine like terms: 2b + -2b = 0 -2b + -6b3 = 0 + 6b3 + -6b3 -2b + -6b3 = 6b3 + -6b3 Combine like terms: 6b3 + -6b3 = 0 -2b + -6b3 = 0 Factor out the Greatest Common Factor (GCF), '-2b'. -2b(1 + 3b2) = 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 '(1 + 3b2)' equal to zero and attempt to solve: Simplifying 1 + 3b2 = 0 Solving 1 + 3b2 = 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 + 3b2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3b2 = 0 + -1 3b2 = 0 + -1 Combine like terms: 0 + -1 = -1 3b2 = -1 Divide each side by '3'. b2 = -0.3333333333 Simplifying b2 = -0.3333333333 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
b = {0}
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