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Simplifying 2a(-8a + 3) = 0 Reorder the terms: 2a(3 + -8a) = 0 (3 * 2a + -8a * 2a) = 0 (6a + -16a2) = 0 Solving 6a + -16a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a'. 2a(3 + -8a) = 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 '(3 + -8a)' equal to zero and attempt to solve: Simplifying 3 + -8a = 0 Solving 3 + -8a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -8a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8a = 0 + -3 -8a = 0 + -3 Combine like terms: 0 + -3 = -3 -8a = -3 Divide each side by '-8'. a = 0.375 Simplifying a = 0.375Solution
a = {0, 0.375}
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