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Simplifying 4b2 + 18b + 0 = 0 Reorder the terms: 0 + 18b + 4b2 = 0 Remove the zero: 18b + 4b2 = 0 Solving 18b + 4b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2b'. 2b(9 + 2b) = 0 Ignore the factor 2.Subproblem 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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