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Simplifying 4b2 = -9b Solving 4b2 = -9b Solving for variable 'b'. Reorder the terms: 9b + 4b2 = -9b + 9b Combine like terms: -9b + 9b = 0 9b + 4b2 = 0 Factor out the Greatest Common Factor (GCF), 'b'. b(9 + 4b) = 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 + 4b)' equal to zero and attempt to solve: Simplifying 9 + 4b = 0 Solving 9 + 4b = 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 + 4b = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4b = 0 + -9 4b = 0 + -9 Combine like terms: 0 + -9 = -9 4b = -9 Divide each side by '4'. b = -2.25 Simplifying b = -2.25Solution
b = {0, -2.25}
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