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Simplifying 5a(8a + -3) + 6a(a + 4) = 0 Reorder the terms: 5a(-3 + 8a) + 6a(a + 4) = 0 (-3 * 5a + 8a * 5a) + 6a(a + 4) = 0 (-15a + 40a2) + 6a(a + 4) = 0 Reorder the terms: -15a + 40a2 + 6a(4 + a) = 0 -15a + 40a2 + (4 * 6a + a * 6a) = 0 -15a + 40a2 + (24a + 6a2) = 0 Reorder the terms: -15a + 24a + 40a2 + 6a2 = 0 Combine like terms: -15a + 24a = 9a 9a + 40a2 + 6a2 = 0 Combine like terms: 40a2 + 6a2 = 46a2 9a + 46a2 = 0 Solving 9a + 46a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(9 + 46a) = 0Subproblem 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 + 46a)' equal to zero and attempt to solve: Simplifying 9 + 46a = 0 Solving 9 + 46a = 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 + 46a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 46a = 0 + -9 46a = 0 + -9 Combine like terms: 0 + -9 = -9 46a = -9 Divide each side by '46'. a = -0.1956521739 Simplifying a = -0.1956521739Solution
a = {0, -0.1956521739}
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