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Simplifying 5(3b * 3b + -2b) = 0 Reorder the terms for easier multiplication: 5(3 * 3b * b + -2b) = 0 Multiply 3 * 3 5(9b * b + -2b) = 0 Multiply b * b 5(9b2 + -2b) = 0 Reorder the terms: 5(-2b + 9b2) = 0 (-2b * 5 + 9b2 * 5) = 0 (-10b + 45b2) = 0 Solving -10b + 45b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '5b'. 5b(-2 + 9b) = 0 Ignore the factor 5.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 '(-2 + 9b)' equal to zero and attempt to solve: Simplifying -2 + 9b = 0 Solving -2 + 9b = 0 Move all terms containing b to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 9b = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 9b = 0 + 2 9b = 0 + 2 Combine like terms: 0 + 2 = 2 9b = 2 Divide each side by '9'. b = 0.2222222222 Simplifying b = 0.2222222222Solution
b = {0, 0.2222222222}
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