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Simplifying (2a + -1i) * x + -1(2a + i) = 0 Reorder the terms for easier multiplication: x(2a + -1i) + -1(2a + i) = 0 (2a * x + -1i * x) + -1(2a + i) = 0 (2ax + -1ix) + -1(2a + i) = 0 2ax + -1ix + (2a * -1 + i * -1) = 0 2ax + -1ix + (-2a + -1i) = 0 Reorder the terms: -2a + 2ax + -1i + -1ix = 0 Solving -2a + 2ax + -1i + -1ix = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'i' to each side of the equation. -2a + 2ax + -1i + i + -1ix = 0 + i Combine like terms: -1i + i = 0 -2a + 2ax + 0 + -1ix = 0 + i -2a + 2ax + -1ix = 0 + i Remove the zero: -2a + 2ax + -1ix = i Add 'ix' to each side of the equation. -2a + 2ax + -1ix + ix = i + ix Combine like terms: -1ix + ix = 0 -2a + 2ax + 0 = i + ix -2a + 2ax = i + ix Reorder the terms: -2a + 2ax + -1i + -1ix = i + -1i + ix + -1ix Combine like terms: i + -1i = 0 -2a + 2ax + -1i + -1ix = 0 + ix + -1ix -2a + 2ax + -1i + -1ix = ix + -1ix Combine like terms: ix + -1ix = 0 -2a + 2ax + -1i + -1ix = 0 The solution to this equation could not be determined.
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