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Simplifying 30n2b + -87nb + 30b = 0 Reorder the terms: 30b + -87bn + 30bn2 = 0 Solving 30b + -87bn + 30bn2 = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '3b'. 3b(10 + -29n + 10n2) = 0 Factor a trinomial. 3b((2 + -5n)(5 + -2n)) = 0 Ignore the factor 3.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 '(2 + -5n)' equal to zero and attempt to solve: Simplifying 2 + -5n = 0 Solving 2 + -5n = 0 Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5n = 0 + -2 -5n = 0 + -2 Combine like terms: 0 + -2 = -2 -5n = -2 Add '5n' to each side of the equation. -5n + 5n = -2 + 5n Combine like terms: -5n + 5n = 0 0 = -2 + 5n Simplifying 0 = -2 + 5n The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(5 + -2n)' equal to zero and attempt to solve: Simplifying 5 + -2n = 0 Solving 5 + -2n = 0 Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2n = 0 + -5 -2n = 0 + -5 Combine like terms: 0 + -5 = -5 -2n = -5 Add '2n' to each side of the equation. -2n + 2n = -5 + 2n Combine like terms: -2n + 2n = 0 0 = -5 + 2n Simplifying 0 = -5 + 2n 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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