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Simplifying 3b(3b + 2) = 0 Reorder the terms: 3b(2 + 3b) = 0 (2 * 3b + 3b * 3b) = 0 (6b + 9b2) = 0 Solving 6b + 9b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '3b'. 3b(2 + 3b) = 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 + 3b)' equal to zero and attempt to solve: Simplifying 2 + 3b = 0 Solving 2 + 3b = 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 + 3b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3b = 0 + -2 3b = 0 + -2 Combine like terms: 0 + -2 = -2 3b = -2 Divide each side by '3'. b = -0.6666666667 Simplifying b = -0.6666666667Solution
b = {0, -0.6666666667}
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