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Simplifying 6a2 + -4a(1 + -8a) = 0 6a2 + (1 * -4a + -8a * -4a) = 0 6a2 + (-4a + 32a2) = 0 Reorder the terms: -4a + 6a2 + 32a2 = 0 Combine like terms: 6a2 + 32a2 = 38a2 -4a + 38a2 = 0 Solving -4a + 38a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a'. 2a(-2 + 19a) = 0 Ignore the factor 2.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 '(-2 + 19a)' equal to zero and attempt to solve: Simplifying -2 + 19a = 0 Solving -2 + 19a = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 19a = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 19a = 0 + 2 19a = 0 + 2 Combine like terms: 0 + 2 = 2 19a = 2 Divide each side by '19'. a = 0.1052631579 Simplifying a = 0.1052631579Solution
a = {0, 0.1052631579}
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