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Simplifying 6(1 + 11a) * a = 0 Reorder the terms for easier multiplication: 6a(1 + 11a) = 0 (1 * 6a + 11a * 6a) = 0 (6a + 66a2) = 0 Solving 6a + 66a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '6a'. 6a(1 + 11a) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(1 + 11a)' equal to zero and attempt to solve: Simplifying 1 + 11a = 0 Solving 1 + 11a = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 11a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 11a = 0 + -1 11a = 0 + -1 Combine like terms: 0 + -1 = -1 11a = -1 Divide each side by '11'. a = -0.09090909091 Simplifying a = -0.09090909091Solution
a = {0, -0.09090909091}
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