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Simplifying 4b2(b + 8) = 0 Reorder the terms: 4b2(8 + b) = 0 (8 * 4b2 + b * 4b2) = 0 (32b2 + 4b3) = 0 Solving 32b2 + 4b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '4b2'. 4b2(8 + b) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'b2' equal to zero and attempt to solve: Simplifying b2 = 0 Solving b2 = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b2 = 0 Take the square root of each side: b = {0}Subproblem 2
Set the factor '(8 + b)' equal to zero and attempt to solve: Simplifying 8 + b = 0 Solving 8 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + b = 0 + -8 b = 0 + -8 Combine like terms: 0 + -8 = -8 b = -8 Simplifying b = -8Solution
b = {0, -8}
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