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Simplifying x2 + (-2 + 4i) * x + (-39 + -4i) = 0 Reorder the terms for easier multiplication: x2 + x(-2 + 4i) + (-39 + -4i) = 0 x2 + (-2 * x + 4i * x) + (-39 + -4i) = 0 Reorder the terms: x2 + (4ix + -2x) + (-39 + -4i) = 0 x2 + (4ix + -2x) + (-39 + -4i) = 0 Remove parenthesis around (-39 + -4i) x2 + 4ix + -2x + -39 + -4i = 0 Reorder the terms: -39 + -4i + 4ix + -2x + x2 = 0 Solving -39 + -4i + 4ix + -2x + x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '39' to each side of the equation. -39 + -4i + 4ix + -2x + 39 + x2 = 0 + 39 Reorder the terms: -39 + 39 + -4i + 4ix + -2x + x2 = 0 + 39 Combine like terms: -39 + 39 = 0 0 + -4i + 4ix + -2x + x2 = 0 + 39 -4i + 4ix + -2x + x2 = 0 + 39 Combine like terms: 0 + 39 = 39 -4i + 4ix + -2x + x2 = 39 Add '2x' to each side of the equation. -4i + 4ix + -2x + 2x + x2 = 39 + 2x Combine like terms: -2x + 2x = 0 -4i + 4ix + 0 + x2 = 39 + 2x -4i + 4ix + x2 = 39 + 2x Add '-1x2' to each side of the equation. -4i + 4ix + x2 + -1x2 = 39 + 2x + -1x2 Combine like terms: x2 + -1x2 = 0 -4i + 4ix + 0 = 39 + 2x + -1x2 -4i + 4ix = 39 + 2x + -1x2 Reorder the terms: -39 + -4i + 4ix + -2x + x2 = 39 + 2x + -1x2 + -39 + -2x + x2 Reorder the terms: -39 + -4i + 4ix + -2x + x2 = 39 + -39 + 2x + -2x + -1x2 + x2 Combine like terms: 39 + -39 = 0 -39 + -4i + 4ix + -2x + x2 = 0 + 2x + -2x + -1x2 + x2 -39 + -4i + 4ix + -2x + x2 = 2x + -2x + -1x2 + x2 Combine like terms: 2x + -2x = 0 -39 + -4i + 4ix + -2x + x2 = 0 + -1x2 + x2 -39 + -4i + 4ix + -2x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -39 + -4i + 4ix + -2x + x2 = 0 The solution to this equation could not be determined.
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