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Simplifying 2b2 = 9b Solving 2b2 = 9b Solving for variable 'b'. Reorder the terms: -9b + 2b2 = 9b + -9b Combine like terms: 9b + -9b = 0 -9b + 2b2 = 0 Factor out the Greatest Common Factor (GCF), 'b'. b(-9 + 2b) = 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 '(-9 + 2b)' equal to zero and attempt to solve: Simplifying -9 + 2b = 0 Solving -9 + 2b = 0 Move all terms containing b to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 2b = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 2b = 0 + 9 2b = 0 + 9 Combine like terms: 0 + 9 = 9 2b = 9 Divide each side by '2'. b = 4.5 Simplifying b = 4.5Solution
b = {0, 4.5}
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