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Simplifying (3a + -4b + 1)(2a + 5b + -3) = 0 Reorder the terms: (1 + 3a + -4b)(2a + 5b + -3) = 0 Reorder the terms: (1 + 3a + -4b)(-3 + 2a + 5b) = 0 Multiply (1 + 3a + -4b) * (-3 + 2a + 5b) (1(-3 + 2a + 5b) + 3a * (-3 + 2a + 5b) + -4b * (-3 + 2a + 5b)) = 0 ((-3 * 1 + 2a * 1 + 5b * 1) + 3a * (-3 + 2a + 5b) + -4b * (-3 + 2a + 5b)) = 0 ((-3 + 2a + 5b) + 3a * (-3 + 2a + 5b) + -4b * (-3 + 2a + 5b)) = 0 (-3 + 2a + 5b + (-3 * 3a + 2a * 3a + 5b * 3a) + -4b * (-3 + 2a + 5b)) = 0 Reorder the terms: (-3 + 2a + 5b + (-9a + 15ab + 6a2) + -4b * (-3 + 2a + 5b)) = 0 (-3 + 2a + 5b + (-9a + 15ab + 6a2) + -4b * (-3 + 2a + 5b)) = 0 (-3 + 2a + 5b + -9a + 15ab + 6a2 + (-3 * -4b + 2a * -4b + 5b * -4b)) = 0 Reorder the terms: (-3 + 2a + 5b + -9a + 15ab + 6a2 + (-8ab + 12b + -20b2)) = 0 (-3 + 2a + 5b + -9a + 15ab + 6a2 + (-8ab + 12b + -20b2)) = 0 Reorder the terms: (-3 + 2a + -9a + 15ab + -8ab + 6a2 + 5b + 12b + -20b2) = 0 Combine like terms: 2a + -9a = -7a (-3 + -7a + 15ab + -8ab + 6a2 + 5b + 12b + -20b2) = 0 Combine like terms: 15ab + -8ab = 7ab (-3 + -7a + 7ab + 6a2 + 5b + 12b + -20b2) = 0 Combine like terms: 5b + 12b = 17b (-3 + -7a + 7ab + 6a2 + 17b + -20b2) = 0 Solving -3 + -7a + 7ab + 6a2 + 17b + -20b2 = 0 Solving for variable 'a'. The solution to this equation could not be determined.
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