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Simplifying 3b + -1(3b + -24) * b * 3 = 0 Reorder the terms: 3b + -1(-24 + 3b) * b * 3 = 0 Reorder the terms for easier multiplication: 3b + -1 * 3b(-24 + 3b) = 0 Multiply -1 * 3 3b + -3b(-24 + 3b) = 0 3b + (-24 * -3b + 3b * -3b) = 0 3b + (72b + -9b2) = 0 Combine like terms: 3b + 72b = 75b 75b + -9b2 = 0 Solving 75b + -9b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '3b'. 3b(25 + -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 '(25 + -3b)' equal to zero and attempt to solve: Simplifying 25 + -3b = 0 Solving 25 + -3b = 0 Move all terms containing b to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -3b = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -3b = 0 + -25 -3b = 0 + -25 Combine like terms: 0 + -25 = -25 -3b = -25 Divide each side by '-3'. b = 8.333333333 Simplifying b = 8.333333333Solution
b = {0, 8.333333333}
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