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Simplifying 3a(7a + 4) = 0 Reorder the terms: 3a(4 + 7a) = 0 (4 * 3a + 7a * 3a) = 0 (12a + 21a2) = 0 Solving 12a + 21a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3a'. 3a(4 + 7a) = 0 Ignore the factor 3.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 '(4 + 7a)' equal to zero and attempt to solve: Simplifying 4 + 7a = 0 Solving 4 + 7a = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 7a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7a = 0 + -4 7a = 0 + -4 Combine like terms: 0 + -4 = -4 7a = -4 Divide each side by '7'. a = -0.5714285714 Simplifying a = -0.5714285714Solution
a = {0, -0.5714285714}
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