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Simplifying 2x4 + -6ix3 + -2x2 + (3 + -4i) * x + -5i + 2 = 0 Reorder the terms for easier multiplication: 2x4 + -6ix3 + -2x2 + x(3 + -4i) + -5i + 2 = 0 2x4 + -6ix3 + -2x2 + (3 * x + -4i * x) + -5i + 2 = 0 Reorder the terms: 2x4 + -6ix3 + -2x2 + (-4ix + 3x) + -5i + 2 = 0 2x4 + -6ix3 + -2x2 + (-4ix + 3x) + -5i + 2 = 0 Reorder the terms: 2 + -5i + -4ix + -6ix3 + 3x + -2x2 + 2x4 = 0 Solving 2 + -5i + -4ix + -6ix3 + 3x + -2x2 + 2x4 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -5i + -4ix + -6ix3 + 3x + -2x2 + -2 + 2x4 = 0 + -2 Reorder the terms: 2 + -2 + -5i + -4ix + -6ix3 + 3x + -2x2 + 2x4 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5i + -4ix + -6ix3 + 3x + -2x2 + 2x4 = 0 + -2 -5i + -4ix + -6ix3 + 3x + -2x2 + 2x4 = 0 + -2 Combine like terms: 0 + -2 = -2 -5i + -4ix + -6ix3 + 3x + -2x2 + 2x4 = -2 Add '-3x' to each side of the equation. -5i + -4ix + -6ix3 + 3x + -2x2 + -3x + 2x4 = -2 + -3x Reorder the terms: -5i + -4ix + -6ix3 + 3x + -3x + -2x2 + 2x4 = -2 + -3x Combine like terms: 3x + -3x = 0 -5i + -4ix + -6ix3 + 0 + -2x2 + 2x4 = -2 + -3x -5i + -4ix + -6ix3 + -2x2 + 2x4 = -2 + -3x Add '2x2' to each side of the equation. -5i + -4ix + -6ix3 + -2x2 + 2x2 + 2x4 = -2 + -3x + 2x2 Combine like terms: -2x2 + 2x2 = 0 -5i + -4ix + -6ix3 + 0 + 2x4 = -2 + -3x + 2x2 -5i + -4ix + -6ix3 + 2x4 = -2 + -3x + 2x2 Add '-2x4' to each side of the equation. -5i + -4ix + -6ix3 + 2x4 + -2x4 = -2 + -3x + 2x2 + -2x4 Combine like terms: 2x4 + -2x4 = 0 -5i + -4ix + -6ix3 + 0 = -2 + -3x + 2x2 + -2x4 -5i + -4ix + -6ix3 = -2 + -3x + 2x2 + -2x4 Reorder the terms: 2 + -5i + -4ix + -6ix3 + 3x + -2x2 + 2x4 = -2 + -3x + 2x2 + -2x4 + 2 + 3x + -2x2 + 2x4 Reorder the terms: 2 + -5i + -4ix + -6ix3 + 3x + -2x2 + 2x4 = -2 + 2 + -3x + 3x + 2x2 + -2x2 + -2x4 + 2x4 Combine like terms: -2 + 2 = 0 2 + -5i + -4ix + -6ix3 + 3x + -2x2 + 2x4 = 0 + -3x + 3x + 2x2 + -2x2 + -2x4 + 2x4 2 + -5i + -4ix + -6ix3 + 3x + -2x2 + 2x4 = -3x + 3x + 2x2 + -2x2 + -2x4 + 2x4 Combine like terms: -3x + 3x = 0 2 + -5i + -4ix + -6ix3 + 3x + -2x2 + 2x4 = 0 + 2x2 + -2x2 + -2x4 + 2x4 2 + -5i + -4ix + -6ix3 + 3x + -2x2 + 2x4 = 2x2 + -2x2 + -2x4 + 2x4 Combine like terms: 2x2 + -2x2 = 0 2 + -5i + -4ix + -6ix3 + 3x + -2x2 + 2x4 = 0 + -2x4 + 2x4 2 + -5i + -4ix + -6ix3 + 3x + -2x2 + 2x4 = -2x4 + 2x4 Combine like terms: -2x4 + 2x4 = 0 2 + -5i + -4ix + -6ix3 + 3x + -2x2 + 2x4 = 0 The solution to this equation could not be determined.
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