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Simplifying (15b)(15b) + 5b = 0 Remove parenthesis around (15b) 15b(15b) + 5b = 0 Remove parenthesis around (15b) 15b * 15b + 5b = 0 Reorder the terms for easier multiplication: 15 * 15b * b + 5b = 0 Multiply 15 * 15 225b * b + 5b = 0 Multiply b * b 225b2 + 5b = 0 Reorder the terms: 5b + 225b2 = 0 Solving 5b + 225b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '5b'. 5b(1 + 45b) = 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 '(1 + 45b)' equal to zero and attempt to solve: Simplifying 1 + 45b = 0 Solving 1 + 45b = 0 Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 45b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 45b = 0 + -1 45b = 0 + -1 Combine like terms: 0 + -1 = -1 45b = -1 Divide each side by '45'. b = -0.02222222222 Simplifying b = -0.02222222222Solution
b = {0, -0.02222222222}
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