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Simplifying 0 = b2 + -8b Reorder the terms: 0 = -8b + b2 Solving 0 = -8b + b2 Solving for variable 'b'. Remove the zero: 8b + -1b2 = -8b + b2 + 8b + -1b2 Reorder the terms: 8b + -1b2 = -8b + 8b + b2 + -1b2 Combine like terms: -8b + 8b = 0 8b + -1b2 = 0 + b2 + -1b2 8b + -1b2 = b2 + -1b2 Combine like terms: b2 + -1b2 = 0 8b + -1b2 = 0 Factor out the Greatest Common Factor (GCF), 'b'. b(8 + -1b) = 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 '(8 + -1b)' equal to zero and attempt to solve: Simplifying 8 + -1b = 0 Solving 8 + -1b = 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 + -1b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1b = 0 + -8 -1b = 0 + -8 Combine like terms: 0 + -8 = -8 -1b = -8 Divide each side by '-1'. b = 8 Simplifying b = 8Solution
b = {0, 8}
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