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Simplifying b(2b + 1) = 0 Reorder the terms: b(1 + 2b) = 0 (1 * b + 2b * b) = 0 (1b + 2b2) = 0 Solving 1b + 2b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'b'. b(1 + 2b) = 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 '(1 + 2b)' equal to zero and attempt to solve: Simplifying 1 + 2b = 0 Solving 1 + 2b = 0 Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2b = 0 + -1 2b = 0 + -1 Combine like terms: 0 + -1 = -1 2b = -1 Divide each side by '2'. b = -0.5 Simplifying b = -0.5Solution
b = {0, -0.5}
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