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Simplifying 0 = 2b2 + b Reorder the terms: 0 = b + 2b2 Solving 0 = b + 2b2 Solving for variable 'b'. Remove the zero: -1b + -2b2 = b + 2b2 + -1b + -2b2 Reorder the terms: -1b + -2b2 = b + -1b + 2b2 + -2b2 Combine like terms: b + -1b = 0 -1b + -2b2 = 0 + 2b2 + -2b2 -1b + -2b2 = 2b2 + -2b2 Combine like terms: 2b2 + -2b2 = 0 -1b + -2b2 = 0 Factor out the Greatest Common Factor (GCF), '-1b'. -1b(1 + 2b) = 0 Ignore the factor -1.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 '(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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