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Simplifying (A + -5)(9a2 + -1a + -4) = 0 Reorder the terms: (-5 + A)(9a2 + -1a + -4) = 0 Reorder the terms: (-5 + A)(-4 + -1a + 9a2) = 0 Multiply (-5 + A) * (-4 + -1a + 9a2) (-5(-4 + -1a + 9a2) + A(-4 + -1a + 9a2)) = 0 ((-4 * -5 + -1a * -5 + 9a2 * -5) + A(-4 + -1a + 9a2)) = 0 ((20 + 5a + -45a2) + A(-4 + -1a + 9a2)) = 0 (20 + 5a + -45a2 + (-4 * A + -1a * A + 9a2 * A)) = 0 (20 + 5a + -45a2 + (-4A + -1aA + 9a2A)) = 0 Reorder the terms: (20 + -4A + 5a + -1aA + -45a2 + 9a2A) = 0 (20 + -4A + 5a + -1aA + -45a2 + 9a2A) = 0 Solving 20 + -4A + 5a + -1aA + -45a2 + 9a2A = 0 Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -4A + 5a + -1aA + -45a2 + -20 + 9a2A = 0 + -20 Reorder the terms: 20 + -20 + -4A + 5a + -1aA + -45a2 + 9a2A = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -4A + 5a + -1aA + -45a2 + 9a2A = 0 + -20 -4A + 5a + -1aA + -45a2 + 9a2A = 0 + -20 Combine like terms: 0 + -20 = -20 -4A + 5a + -1aA + -45a2 + 9a2A = -20 Add '-5a' to each side of the equation. -4A + 5a + -1aA + -45a2 + -5a + 9a2A = -20 + -5a Reorder the terms: -4A + 5a + -5a + -1aA + -45a2 + 9a2A = -20 + -5a Combine like terms: 5a + -5a = 0 -4A + 0 + -1aA + -45a2 + 9a2A = -20 + -5a -4A + -1aA + -45a2 + 9a2A = -20 + -5a Add '45a2' to each side of the equation. -4A + -1aA + -45a2 + 45a2 + 9a2A = -20 + -5a + 45a2 Combine like terms: -45a2 + 45a2 = 0 -4A + -1aA + 0 + 9a2A = -20 + -5a + 45a2 -4A + -1aA + 9a2A = -20 + -5a + 45a2 Reorder the terms: 20 + -4A + 5a + -1aA + -45a2 + 9a2A = -20 + -5a + 45a2 + 20 + 5a + -45a2 Reorder the terms: 20 + -4A + 5a + -1aA + -45a2 + 9a2A = -20 + 20 + -5a + 5a + 45a2 + -45a2 Combine like terms: -20 + 20 = 0 20 + -4A + 5a + -1aA + -45a2 + 9a2A = 0 + -5a + 5a + 45a2 + -45a2 20 + -4A + 5a + -1aA + -45a2 + 9a2A = -5a + 5a + 45a2 + -45a2 Combine like terms: -5a + 5a = 0 20 + -4A + 5a + -1aA + -45a2 + 9a2A = 0 + 45a2 + -45a2 20 + -4A + 5a + -1aA + -45a2 + 9a2A = 45a2 + -45a2 Combine like terms: 45a2 + -45a2 = 0 20 + -4A + 5a + -1aA + -45a2 + 9a2A = 0 The solution to this equation could not be determined.
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