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Simplifying 0 = b2 + -24b Reorder the terms: 0 = -24b + b2 Solving 0 = -24b + b2 Solving for variable 'b'. Remove the zero: 24b + -1b2 = -24b + b2 + 24b + -1b2 Reorder the terms: 24b + -1b2 = -24b + 24b + b2 + -1b2 Combine like terms: -24b + 24b = 0 24b + -1b2 = 0 + b2 + -1b2 24b + -1b2 = b2 + -1b2 Combine like terms: b2 + -1b2 = 0 24b + -1b2 = 0 Factor out the Greatest Common Factor (GCF), 'b'. b(24 + -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 '(24 + -1b)' equal to zero and attempt to solve: Simplifying 24 + -1b = 0 Solving 24 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1b = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1b = 0 + -24 -1b = 0 + -24 Combine like terms: 0 + -24 = -24 -1b = -24 Divide each side by '-1'. b = 24 Simplifying b = 24Solution
b = {0, 24}
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