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Simplifying (4x + 9)(a + 8) = 0 Reorder the terms: (9 + 4x)(a + 8) = 0 Reorder the terms: (9 + 4x)(8 + a) = 0 Multiply (9 + 4x) * (8 + a) (9(8 + a) + 4x * (8 + a)) = 0 ((8 * 9 + a * 9) + 4x * (8 + a)) = 0 ((72 + 9a) + 4x * (8 + a)) = 0 (72 + 9a + (8 * 4x + a * 4x)) = 0 Reorder the terms: (72 + 9a + (4ax + 32x)) = 0 (72 + 9a + (4ax + 32x)) = 0 (72 + 9a + 4ax + 32x) = 0 Solving 72 + 9a + 4ax + 32x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + 9a + 4ax + -72 + 32x = 0 + -72 Reorder the terms: 72 + -72 + 9a + 4ax + 32x = 0 + -72 Combine like terms: 72 + -72 = 0 0 + 9a + 4ax + 32x = 0 + -72 9a + 4ax + 32x = 0 + -72 Combine like terms: 0 + -72 = -72 9a + 4ax + 32x = -72 Add '-32x' to each side of the equation. 9a + 4ax + 32x + -32x = -72 + -32x Combine like terms: 32x + -32x = 0 9a + 4ax + 0 = -72 + -32x 9a + 4ax = -72 + -32x Reorder the terms: 72 + 9a + 4ax + 32x = -72 + -32x + 72 + 32x Reorder the terms: 72 + 9a + 4ax + 32x = -72 + 72 + -32x + 32x Combine like terms: -72 + 72 = 0 72 + 9a + 4ax + 32x = 0 + -32x + 32x 72 + 9a + 4ax + 32x = -32x + 32x Combine like terms: -32x + 32x = 0 72 + 9a + 4ax + 32x = 0 The solution to this equation could not be determined.
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