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Simplifying 8bc2 + -30bc + 18 = 0 Reorder the terms: 18 + -30bc + 8bc2 = 0 Solving 18 + -30bc + 8bc2 = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -30bc + -18 + 8bc2 = 0 + -18 Reorder the terms: 18 + -18 + -30bc + 8bc2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -30bc + 8bc2 = 0 + -18 -30bc + 8bc2 = 0 + -18 Combine like terms: 0 + -18 = -18 -30bc + 8bc2 = -18 Reorder the terms: 18 + -30bc + 8bc2 = -18 + 18 Combine like terms: -18 + 18 = 0 18 + -30bc + 8bc2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(9 + -15bc + 4bc2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(9 + -15bc + 4bc2)' equal to zero and attempt to solve: Simplifying 9 + -15bc + 4bc2 = 0 Solving 9 + -15bc + 4bc2 = 0 Move all terms containing b to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -15bc + -9 + 4bc2 = 0 + -9 Reorder the terms: 9 + -9 + -15bc + 4bc2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -15bc + 4bc2 = 0 + -9 -15bc + 4bc2 = 0 + -9 Combine like terms: 0 + -9 = -9 -15bc + 4bc2 = -9 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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