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Simplifying 4b(c)(c) + -17bc + -15b = 0 Multiply b * c 4bc * c + -17bc + -15b = 0 Multiply bc * c 4bc2 + -17bc + -15b = 0 Reorder the terms: -15b + -17bc + 4bc2 = 0 Solving -15b + -17bc + 4bc2 = 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), 'b'. b(-15 + -17c + 4c2) = 0 Factor a trinomial. b((-3 + -4c)(5 + -1c)) = 0Subproblem 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 '(-3 + -4c)' equal to zero and attempt to solve: Simplifying -3 + -4c = 0 Solving -3 + -4c = 0 Move all terms containing b to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -4c = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4c = 0 + 3 -4c = 0 + 3 Combine like terms: 0 + 3 = 3 -4c = 3 Add '4c' to each side of the equation. -4c + 4c = 3 + 4c Combine like terms: -4c + 4c = 0 0 = 3 + 4c Simplifying 0 = 3 + 4c 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 + -1c)' equal to zero and attempt to solve: Simplifying 5 + -1c = 0 Solving 5 + -1c = 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 + -1c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1c = 0 + -5 -1c = 0 + -5 Combine like terms: 0 + -5 = -5 -1c = -5 Add 'c' to each side of the equation. -1c + c = -5 + c Combine like terms: -1c + c = 0 0 = -5 + c Simplifying 0 = -5 + 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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