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Simplifying 5b2 + 21b = 18b Reorder the terms: 21b + 5b2 = 18b Solving 21b + 5b2 = 18b Solving for variable 'b'. Reorder the terms: 21b + -18b + 5b2 = 18b + -18b Combine like terms: 21b + -18b = 3b 3b + 5b2 = 18b + -18b Combine like terms: 18b + -18b = 0 3b + 5b2 = 0 Factor out the Greatest Common Factor (GCF), 'b'. b(3 + 5b) = 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 '(3 + 5b)' equal to zero and attempt to solve: Simplifying 3 + 5b = 0 Solving 3 + 5b = 0 Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5b = 0 + -3 5b = 0 + -3 Combine like terms: 0 + -3 = -3 5b = -3 Divide each side by '5'. b = -0.6 Simplifying b = -0.6Solution
b = {0, -0.6}
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