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Simplifying 0 = b(b + 5) Reorder the terms: 0 = b(5 + b) 0 = (5 * b + b * b) 0 = (5b + b2) Solving 0 = 5b + b2 Solving for variable 'b'. Remove the zero: -5b + -1b2 = 5b + b2 + -5b + -1b2 Reorder the terms: -5b + -1b2 = 5b + -5b + b2 + -1b2 Combine like terms: 5b + -5b = 0 -5b + -1b2 = 0 + b2 + -1b2 -5b + -1b2 = b2 + -1b2 Combine like terms: b2 + -1b2 = 0 -5b + -1b2 = 0 Factor out the Greatest Common Factor (GCF), '-1b'. -1b(5 + 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 '(5 + b)' equal to zero and attempt to solve: Simplifying 5 + b = 0 Solving 5 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + b = 0 + -5 b = 0 + -5 Combine like terms: 0 + -5 = -5 b = -5 Simplifying b = -5Solution
b = {0, -5}
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