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Simplifying (2a2 + 9a + -10)(13a2 + -7a + 11)(a + -3) = 0 Reorder the terms: (-10 + 9a + 2a2)(13a2 + -7a + 11)(a + -3) = 0 Reorder the terms: (-10 + 9a + 2a2)(11 + -7a + 13a2)(a + -3) = 0 Reorder the terms: (-10 + 9a + 2a2)(11 + -7a + 13a2)(-3 + a) = 0 Multiply (-10 + 9a + 2a2) * (11 + -7a + 13a2) (-10(11 + -7a + 13a2) + 9a * (11 + -7a + 13a2) + 2a2 * (11 + -7a + 13a2))(-3 + a) = 0 ((11 * -10 + -7a * -10 + 13a2 * -10) + 9a * (11 + -7a + 13a2) + 2a2 * (11 + -7a + 13a2))(-3 + a) = 0 ((-110 + 70a + -130a2) + 9a * (11 + -7a + 13a2) + 2a2 * (11 + -7a + 13a2))(-3 + a) = 0 (-110 + 70a + -130a2 + (11 * 9a + -7a * 9a + 13a2 * 9a) + 2a2 * (11 + -7a + 13a2))(-3 + a) = 0 (-110 + 70a + -130a2 + (99a + -63a2 + 117a3) + 2a2 * (11 + -7a + 13a2))(-3 + a) = 0 (-110 + 70a + -130a2 + 99a + -63a2 + 117a3 + (11 * 2a2 + -7a * 2a2 + 13a2 * 2a2))(-3 + a) = 0 (-110 + 70a + -130a2 + 99a + -63a2 + 117a3 + (22a2 + -14a3 + 26a4))(-3 + a) = 0 Reorder the terms: (-110 + 70a + 99a + -130a2 + -63a2 + 22a2 + 117a3 + -14a3 + 26a4)(-3 + a) = 0 Combine like terms: 70a + 99a = 169a (-110 + 169a + -130a2 + -63a2 + 22a2 + 117a3 + -14a3 + 26a4)(-3 + a) = 0 Combine like terms: -130a2 + -63a2 = -193a2 (-110 + 169a + -193a2 + 22a2 + 117a3 + -14a3 + 26a4)(-3 + a) = 0 Combine like terms: -193a2 + 22a2 = -171a2 (-110 + 169a + -171a2 + 117a3 + -14a3 + 26a4)(-3 + a) = 0 Combine like terms: 117a3 + -14a3 = 103a3 (-110 + 169a + -171a2 + 103a3 + 26a4)(-3 + a) = 0 Multiply (-110 + 169a + -171a2 + 103a3 + 26a4) * (-3 + a) (-110(-3 + a) + 169a * (-3 + a) + -171a2 * (-3 + a) + 103a3 * (-3 + a) + 26a4 * (-3 + a)) = 0 ((-3 * -110 + a * -110) + 169a * (-3 + a) + -171a2 * (-3 + a) + 103a3 * (-3 + a) + 26a4 * (-3 + a)) = 0 ((330 + -110a) + 169a * (-3 + a) + -171a2 * (-3 + a) + 103a3 * (-3 + a) + 26a4 * (-3 + a)) = 0 (330 + -110a + (-3 * 169a + a * 169a) + -171a2 * (-3 + a) + 103a3 * (-3 + a) + 26a4 * (-3 + a)) = 0 (330 + -110a + (-507a + 169a2) + -171a2 * (-3 + a) + 103a3 * (-3 + a) + 26a4 * (-3 + a)) = 0 (330 + -110a + -507a + 169a2 + (-3 * -171a2 + a * -171a2) + 103a3 * (-3 + a) + 26a4 * (-3 + a)) = 0 (330 + -110a + -507a + 169a2 + (513a2 + -171a3) + 103a3 * (-3 + a) + 26a4 * (-3 + a)) = 0 (330 + -110a + -507a + 169a2 + 513a2 + -171a3 + (-3 * 103a3 + a * 103a3) + 26a4 * (-3 + a)) = 0 (330 + -110a + -507a + 169a2 + 513a2 + -171a3 + (-309a3 + 103a4) + 26a4 * (-3 + a)) = 0 (330 + -110a + -507a + 169a2 + 513a2 + -171a3 + -309a3 + 103a4 + (-3 * 26a4 + a * 26a4)) = 0 (330 + -110a + -507a + 169a2 + 513a2 + -171a3 + -309a3 + 103a4 + (-78a4 + 26a5)) = 0 Combine like terms: -110a + -507a = -617a (330 + -617a + 169a2 + 513a2 + -171a3 + -309a3 + 103a4 + -78a4 + 26a5) = 0 Combine like terms: 169a2 + 513a2 = 682a2 (330 + -617a + 682a2 + -171a3 + -309a3 + 103a4 + -78a4 + 26a5) = 0 Combine like terms: -171a3 + -309a3 = -480a3 (330 + -617a + 682a2 + -480a3 + 103a4 + -78a4 + 26a5) = 0 Combine like terms: 103a4 + -78a4 = 25a4 (330 + -617a + 682a2 + -480a3 + 25a4 + 26a5) = 0 Solving 330 + -617a + 682a2 + -480a3 + 25a4 + 26a5 = 0 Solving for variable 'a'. The solution to this equation could not be determined.
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