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