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