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Simplifying b = 10b(b + 2) + -1b Reorder the terms: b = 10b(2 + b) + -1b b = (2 * 10b + b * 10b) + -1b b = (20b + 10b2) + -1b Reorder the terms: b = 20b + -1b + 10b2 Combine like terms: 20b + -1b = 19b b = 19b + 10b2 Solving b = 19b + 10b2 Solving for variable 'b'. Combine like terms: b + -19b = -18b -18b + -10b2 = 19b + 10b2 + -19b + -10b2 Reorder the terms: -18b + -10b2 = 19b + -19b + 10b2 + -10b2 Combine like terms: 19b + -19b = 0 -18b + -10b2 = 0 + 10b2 + -10b2 -18b + -10b2 = 10b2 + -10b2 Combine like terms: 10b2 + -10b2 = 0 -18b + -10b2 = 0 Factor out the Greatest Common Factor (GCF), '-2b'. -2b(9 + 5b) = 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 + 5b)' equal to zero and attempt to solve: Simplifying 9 + 5b = 0 Solving 9 + 5b = 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 + 5b = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5b = 0 + -9 5b = 0 + -9 Combine like terms: 0 + -9 = -9 5b = -9 Divide each side by '5'. b = -1.8 Simplifying b = -1.8Solution
b = {0, -1.8}
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