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Simplifying -3a2 + -1[-9a + -1(9a2 + 6a)] + -1[-4 + (-5a + 4)] = 0 Reorder the terms: -3a2 + -1[-9a + -1(6a + 9a2)] + -1[-4 + (-5a + 4)] = 0 -3a2 + -1[-9a + (6a * -1 + 9a2 * -1)] + -1[-4 + (-5a + 4)] = 0 -3a2 + -1[-9a + (-6a + -9a2)] + -1[-4 + (-5a + 4)] = 0 Combine like terms: -9a + -6a = -15a -3a2 + -1[-15a + -9a2] + -1[-4 + (-5a + 4)] = 0 -3a2 + [-15a * -1 + -9a2 * -1] + -1[-4 + (-5a + 4)] = 0 -3a2 + [15a + 9a2] + -1[-4 + (-5a + 4)] = 0 Reorder the terms: -3a2 + 15a + 9a2 + -1[-4 + (4 + -5a)] = 0 Remove parenthesis around (4 + -5a) -3a2 + 15a + 9a2 + -1[-4 + 4 + -5a] = 0 Combine like terms: -4 + 4 = 0 -3a2 + 15a + 9a2 + -1[0 + -5a] = 0 -3a2 + 15a + 9a2 + -1[-5a] = 0 Remove brackets around [-5a] -3a2 + 15a + 9a2 + -1 * -5a = 0 Multiply -1 * -5 -3a2 + 15a + 9a2 + 5a = 0 Reorder the terms: 15a + 5a + -3a2 + 9a2 = 0 Combine like terms: 15a + 5a = 20a 20a + -3a2 + 9a2 = 0 Combine like terms: -3a2 + 9a2 = 6a2 20a + 6a2 = 0 Solving 20a + 6a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a'. 2a(10 + 3a) = 0 Ignore the factor 2.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 '(10 + 3a)' equal to zero and attempt to solve: Simplifying 10 + 3a = 0 Solving 10 + 3a = 0 Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3a = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3a = 0 + -10 3a = 0 + -10 Combine like terms: 0 + -10 = -10 3a = -10 Divide each side by '3'. a = -3.333333333 Simplifying a = -3.333333333Solution
a = {0, -3.333333333}
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