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Simplifying 12a2 + -13a + -1(6a + 1)(2a + -5) = 0 Reorder the terms: 12a2 + -13a + -1(1 + 6a)(2a + -5) = 0 Reorder the terms: 12a2 + -13a + -1(1 + 6a)(-5 + 2a) = 0 Multiply (1 + 6a) * (-5 + 2a) 12a2 + -13a + -1(1(-5 + 2a) + 6a * (-5 + 2a)) = 0 12a2 + -13a + -1((-5 * 1 + 2a * 1) + 6a * (-5 + 2a)) = 0 12a2 + -13a + -1((-5 + 2a) + 6a * (-5 + 2a)) = 0 12a2 + -13a + -1(-5 + 2a + (-5 * 6a + 2a * 6a)) = 0 12a2 + -13a + -1(-5 + 2a + (-30a + 12a2)) = 0 Combine like terms: 2a + -30a = -28a 12a2 + -13a + -1(-5 + -28a + 12a2) = 0 12a2 + -13a + (-5 * -1 + -28a * -1 + 12a2 * -1) = 0 12a2 + -13a + (5 + 28a + -12a2) = 0 Reorder the terms: 5 + -13a + 28a + 12a2 + -12a2 = 0 Combine like terms: -13a + 28a = 15a 5 + 15a + 12a2 + -12a2 = 0 Combine like terms: 12a2 + -12a2 = 0 5 + 15a + 0 = 0 5 + 15a = 0 Solving 5 + 15a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 15a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 15a = 0 + -5 15a = 0 + -5 Combine like terms: 0 + -5 = -5 15a = -5 Divide each side by '15'. a = -0.3333333333 Simplifying a = -0.3333333333
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