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Simplifying 3b + 4b(3 + -1b) = 0 3b + (3 * 4b + -1b * 4b) = 0 3b + (12b + -4b2) = 0 Combine like terms: 3b + 12b = 15b 15b + -4b2 = 0 Solving 15b + -4b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'b'. b(15 + -4b) = 0Subproblem 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 '(15 + -4b)' equal to zero and attempt to solve: Simplifying 15 + -4b = 0 Solving 15 + -4b = 0 Move all terms containing b to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -4b = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -4b = 0 + -15 -4b = 0 + -15 Combine like terms: 0 + -15 = -15 -4b = -15 Divide each side by '-4'. b = 3.75 Simplifying b = 3.75Solution
b = {0, 3.75}
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