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Simplifying 3(3b + -8) * b = 0 Reorder the terms: 3(-8 + 3b) * b = 0 Reorder the terms for easier multiplication: 3b(-8 + 3b) = 0 (-8 * 3b + 3b * 3b) = 0 (-24b + 9b2) = 0 Solving -24b + 9b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '3b'. 3b(-8 + 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 '(-8 + 3b)' equal to zero and attempt to solve: Simplifying -8 + 3b = 0 Solving -8 + 3b = 0 Move all terms containing b to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 3b = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 3b = 0 + 8 3b = 0 + 8 Combine like terms: 0 + 8 = 8 3b = 8 Divide each side by '3'. b = 2.666666667 Simplifying b = 2.666666667Solution
b = {0, 2.666666667}
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