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Simplifying (3a + 4)(2A + -3) = 0 Reorder the terms: (4 + 3a)(2A + -3) = 0 Reorder the terms: (4 + 3a)(-3 + 2A) = 0 Multiply (4 + 3a) * (-3 + 2A) (4(-3 + 2A) + 3a * (-3 + 2A)) = 0 ((-3 * 4 + 2A * 4) + 3a * (-3 + 2A)) = 0 ((-12 + 8A) + 3a * (-3 + 2A)) = 0 (-12 + 8A + (-3 * 3a + 2A * 3a)) = 0 (-12 + 8A + (-9a + 6aA)) = 0 (-12 + 8A + -9a + 6aA) = 0 Solving -12 + 8A + -9a + 6aA = 0 Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 8A + -9a + 12 + 6aA = 0 + 12 Reorder the terms: -12 + 12 + 8A + -9a + 6aA = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 8A + -9a + 6aA = 0 + 12 8A + -9a + 6aA = 0 + 12 Combine like terms: 0 + 12 = 12 8A + -9a + 6aA = 12 Add '9a' to each side of the equation. 8A + -9a + 9a + 6aA = 12 + 9a Combine like terms: -9a + 9a = 0 8A + 0 + 6aA = 12 + 9a 8A + 6aA = 12 + 9a Reorder the terms: -12 + 8A + -9a + 6aA = 12 + 9a + -12 + -9a Reorder the terms: -12 + 8A + -9a + 6aA = 12 + -12 + 9a + -9a Combine like terms: 12 + -12 = 0 -12 + 8A + -9a + 6aA = 0 + 9a + -9a -12 + 8A + -9a + 6aA = 9a + -9a Combine like terms: 9a + -9a = 0 -12 + 8A + -9a + 6aA = 0 The solution to this equation could not be determined.
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