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Simplifying 4a(13a + 9) = 0 Reorder the terms: 4a(9 + 13a) = 0 (9 * 4a + 13a * 4a) = 0 (36a + 52a2) = 0 Solving 36a + 52a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4a'. 4a(9 + 13a) = 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 '(9 + 13a)' equal to zero and attempt to solve: Simplifying 9 + 13a = 0 Solving 9 + 13a = 0 Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 13a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 13a = 0 + -9 13a = 0 + -9 Combine like terms: 0 + -9 = -9 13a = -9 Divide each side by '13'. a = -0.6923076923 Simplifying a = -0.6923076923Solution
a = {0, -0.6923076923}
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