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Simplifying 11b + -3b2 + 4b2 + 12b = 0 Reorder the terms: 11b + 12b + -3b2 + 4b2 = 0 Combine like terms: 11b + 12b = 23b 23b + -3b2 + 4b2 = 0 Combine like terms: -3b2 + 4b2 = 1b2 23b + 1b2 = 0 Solving 23b + 1b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'b'. b(23 + b) = 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 '(23 + b)' equal to zero and attempt to solve: Simplifying 23 + b = 0 Solving 23 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + b = 0 + -23 Combine like terms: 23 + -23 = 0 0 + b = 0 + -23 b = 0 + -23 Combine like terms: 0 + -23 = -23 b = -23 Simplifying b = -23Solution
b = {0, -23}
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