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Simplifying b = 4b(12 + -2b) b = (12 * 4b + -2b * 4b) b = (48b + -8b2) Solving b = 48b + -8b2 Solving for variable 'b'. Combine like terms: b + -48b = -47b -47b + 8b2 = 48b + -8b2 + -48b + 8b2 Reorder the terms: -47b + 8b2 = 48b + -48b + -8b2 + 8b2 Combine like terms: 48b + -48b = 0 -47b + 8b2 = 0 + -8b2 + 8b2 -47b + 8b2 = -8b2 + 8b2 Combine like terms: -8b2 + 8b2 = 0 -47b + 8b2 = 0 Factor out the Greatest Common Factor (GCF), 'b'. b(-47 + 8b) = 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 '(-47 + 8b)' equal to zero and attempt to solve: Simplifying -47 + 8b = 0 Solving -47 + 8b = 0 Move all terms containing b to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 47 + 8b = 0 + 47 Combine like terms: -47 + 47 = 0 0 + 8b = 0 + 47 8b = 0 + 47 Combine like terms: 0 + 47 = 47 8b = 47 Divide each side by '8'. b = 5.875 Simplifying b = 5.875Solution
b = {0, 5.875}
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