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Simplifying 3a(a + -5) + -4a(4a + 6) = 0 Reorder the terms: 3a(-5 + a) + -4a(4a + 6) = 0 (-5 * 3a + a * 3a) + -4a(4a + 6) = 0 (-15a + 3a2) + -4a(4a + 6) = 0 Reorder the terms: -15a + 3a2 + -4a(6 + 4a) = 0 -15a + 3a2 + (6 * -4a + 4a * -4a) = 0 -15a + 3a2 + (-24a + -16a2) = 0 Reorder the terms: -15a + -24a + 3a2 + -16a2 = 0 Combine like terms: -15a + -24a = -39a -39a + 3a2 + -16a2 = 0 Combine like terms: 3a2 + -16a2 = -13a2 -39a + -13a2 = 0 Solving -39a + -13a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '-13a'. -13a(3 + a) = 0 Ignore the factor -13.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 + a)' equal to zero and attempt to solve: Simplifying 3 + a = 0 Solving 3 + a = 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 + a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + a = 0 + -3 a = 0 + -3 Combine like terms: 0 + -3 = -3 a = -3 Simplifying a = -3Solution
a = {0, -3}
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