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Simplifying 6a(4a + -3) + 5a(a + 4) = 0 Reorder the terms: 6a(-3 + 4a) + 5a(a + 4) = 0 (-3 * 6a + 4a * 6a) + 5a(a + 4) = 0 (-18a + 24a2) + 5a(a + 4) = 0 Reorder the terms: -18a + 24a2 + 5a(4 + a) = 0 -18a + 24a2 + (4 * 5a + a * 5a) = 0 -18a + 24a2 + (20a + 5a2) = 0 Reorder the terms: -18a + 20a + 24a2 + 5a2 = 0 Combine like terms: -18a + 20a = 2a 2a + 24a2 + 5a2 = 0 Combine like terms: 24a2 + 5a2 = 29a2 2a + 29a2 = 0 Solving 2a + 29a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(2 + 29a) = 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 '(2 + 29a)' equal to zero and attempt to solve: Simplifying 2 + 29a = 0 Solving 2 + 29a = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 29a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 29a = 0 + -2 29a = 0 + -2 Combine like terms: 0 + -2 = -2 29a = -2 Divide each side by '29'. a = -0.06896551724 Simplifying a = -0.06896551724Solution
a = {0, -0.06896551724}
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