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Simplifying (2b) * x(2bc + 3c) = 0 Remove parenthesis around (2b) 2b * x(2bc + 3c) = 0 Multiply b * x 2bx(2bc + 3c) = 0 (2bc * 2bx + 3c * 2bx) = 0 Reorder the terms: (6bcx + 4b2cx) = 0 (6bcx + 4b2cx) = 0 Solving 6bcx + 4b2cx = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2bcx'. 2bcx(3 + 2b) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'bcx' equal to zero and attempt to solve: Simplifying bcx = 0 Solving bcx = 0 Move all terms containing b to the left, all other terms to the right. Simplifying bcx = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(3 + 2b)' equal to zero and attempt to solve: Simplifying 3 + 2b = 0 Solving 3 + 2b = 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 + 2b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2b = 0 + -3 2b = 0 + -3 Combine like terms: 0 + -3 = -3 2b = -3 Divide each side by '2'. b = -1.5 Simplifying b = -1.5Solution
b = {-1.5}
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