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