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Simplifying 9bc2 + -21bc + -60b = 0 Reorder the terms: -60b + -21bc + 9bc2 = 0 Solving -60b + -21bc + 9bc2 = 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(-20 + -7c + 3c2) = 0 Factor a trinomial. 3b((-5 + -3c)(4 + -1c)) = 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 '(-5 + -3c)' equal to zero and attempt to solve: Simplifying -5 + -3c = 0 Solving -5 + -3c = 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 + -3c = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3c = 0 + 5 -3c = 0 + 5 Combine like terms: 0 + 5 = 5 -3c = 5 Add '3c' to each side of the equation. -3c + 3c = 5 + 3c Combine like terms: -3c + 3c = 0 0 = 5 + 3c Simplifying 0 = 5 + 3c 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 '(4 + -1c)' equal to zero and attempt to solve: Simplifying 4 + -1c = 0 Solving 4 + -1c = 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 + -1c = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1c = 0 + -4 -1c = 0 + -4 Combine like terms: 0 + -4 = -4 -1c = -4 Add 'c' to each side of the equation. -1c + c = -4 + c Combine like terms: -1c + c = 0 0 = -4 + c Simplifying 0 = -4 + c 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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