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Simplifying 4a(7a + 3) = 0 Reorder the terms: 4a(3 + 7a) = 0 (3 * 4a + 7a * 4a) = 0 (12a + 28a2) = 0 Solving 12a + 28a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4a'. 4a(3 + 7a) = 0 Ignore the factor 4.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 + 7a)' equal to zero and attempt to solve: Simplifying 3 + 7a = 0 Solving 3 + 7a = 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 + 7a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7a = 0 + -3 7a = 0 + -3 Combine like terms: 0 + -3 = -3 7a = -3 Divide each side by '7'. a = -0.4285714286 Simplifying a = -0.4285714286Solution
a = {0, -0.4285714286}
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