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Simplifying 9b(-5b + -2) = -45b Reorder the terms: 9b(-2 + -5b) = -45b (-2 * 9b + -5b * 9b) = -45b (-18b + -45b2) = -45b Solving -18b + -45b2 = -45b Solving for variable 'b'. Reorder the terms: -18b + 45b + -45b2 = -45b + 45b Combine like terms: -18b + 45b = 27b 27b + -45b2 = -45b + 45b Combine like terms: -45b + 45b = 0 27b + -45b2 = 0 Factor out the Greatest Common Factor (GCF), '9b'. 9b(3 + -5b) = 0 Ignore the factor 9.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 '(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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