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Simplifying 0 = 4b(b + 4) Reorder the terms: 0 = 4b(4 + b) 0 = (4 * 4b + b * 4b) 0 = (16b + 4b2) Solving 0 = 16b + 4b2 Solving for variable 'b'. Remove the zero: -16b + -4b2 = 16b + 4b2 + -16b + -4b2 Reorder the terms: -16b + -4b2 = 16b + -16b + 4b2 + -4b2 Combine like terms: 16b + -16b = 0 -16b + -4b2 = 0 + 4b2 + -4b2 -16b + -4b2 = 4b2 + -4b2 Combine like terms: 4b2 + -4b2 = 0 -16b + -4b2 = 0 Factor out the Greatest Common Factor (GCF), '-4b'. -4b(4 + b) = 0 Ignore the factor -4.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 '(4 + b)' equal to zero and attempt to solve: Simplifying 4 + b = 0 Solving 4 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + b = 0 + -4 b = 0 + -4 Combine like terms: 0 + -4 = -4 b = -4 Simplifying b = -4Solution
b = {0, -4}
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