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Simplifying -4b(1 + -9b + -2b) = 0 Combine like terms: -9b + -2b = -11b -4b(1 + -11b) = 0 (1 * -4b + -11b * -4b) = 0 (-4b + 44b2) = 0 Solving -4b + 44b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '4b'. 4b(-1 + 11b) = 0 Ignore the factor 4.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 + 11b)' equal to zero and attempt to solve: Simplifying -1 + 11b = 0 Solving -1 + 11b = 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 + 11b = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 11b = 0 + 1 11b = 0 + 1 Combine like terms: 0 + 1 = 1 11b = 1 Divide each side by '11'. b = 0.09090909091 Simplifying b = 0.09090909091Solution
b = {0, 0.09090909091}
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