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Simplifying (2a + -1)(x2 + -9) = 0 Reorder the terms: (-1 + 2a)(x2 + -9) = 0 Reorder the terms: (-1 + 2a)(-9 + x2) = 0 Multiply (-1 + 2a) * (-9 + x2) (-1(-9 + x2) + 2a * (-9 + x2)) = 0 ((-9 * -1 + x2 * -1) + 2a * (-9 + x2)) = 0 ((9 + -1x2) + 2a * (-9 + x2)) = 0 (9 + -1x2 + (-9 * 2a + x2 * 2a)) = 0 (9 + -1x2 + (-18a + 2ax2)) = 0 Reorder the terms: (9 + -18a + 2ax2 + -1x2) = 0 (9 + -18a + 2ax2 + -1x2) = 0 Solving 9 + -18a + 2ax2 + -1x2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -18a + 2ax2 + -9 + -1x2 = 0 + -9 Reorder the terms: 9 + -9 + -18a + 2ax2 + -1x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -18a + 2ax2 + -1x2 = 0 + -9 -18a + 2ax2 + -1x2 = 0 + -9 Combine like terms: 0 + -9 = -9 -18a + 2ax2 + -1x2 = -9 Add 'x2' to each side of the equation. -18a + 2ax2 + -1x2 + x2 = -9 + x2 Combine like terms: -1x2 + x2 = 0 -18a + 2ax2 + 0 = -9 + x2 -18a + 2ax2 = -9 + x2 Reorder the terms: 9 + -18a + 2ax2 + -1x2 = -9 + x2 + 9 + -1x2 Reorder the terms: 9 + -18a + 2ax2 + -1x2 = -9 + 9 + x2 + -1x2 Combine like terms: -9 + 9 = 0 9 + -18a + 2ax2 + -1x2 = 0 + x2 + -1x2 9 + -18a + 2ax2 + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 9 + -18a + 2ax2 + -1x2 = 0 The solution to this equation could not be determined.
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