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Simplifying x2 + -4ix + -1(4 + 2i) = 0 x2 + -4ix + (4 * -1 + 2i * -1) = 0 x2 + -4ix + (-4 + -2i) = 0 Reorder the terms: -4 + -2i + -4ix + x2 = 0 Solving -4 + -2i + -4ix + x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -2i + -4ix + 4 + x2 = 0 + 4 Reorder the terms: -4 + 4 + -2i + -4ix + x2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -2i + -4ix + x2 = 0 + 4 -2i + -4ix + x2 = 0 + 4 Combine like terms: 0 + 4 = 4 -2i + -4ix + x2 = 4 Add '-1x2' to each side of the equation. -2i + -4ix + x2 + -1x2 = 4 + -1x2 Combine like terms: x2 + -1x2 = 0 -2i + -4ix + 0 = 4 + -1x2 -2i + -4ix = 4 + -1x2 Reorder the terms: -4 + -2i + -4ix + x2 = 4 + -1x2 + -4 + x2 Reorder the terms: -4 + -2i + -4ix + x2 = 4 + -4 + -1x2 + x2 Combine like terms: 4 + -4 = 0 -4 + -2i + -4ix + x2 = 0 + -1x2 + x2 -4 + -2i + -4ix + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -4 + -2i + -4ix + x2 = 0 The solution to this equation could not be determined.
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