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Simplifying z2 + (-1 + -2i) * z + -6 + 6i = 0 Reorder the terms for easier multiplication: z2 + z(-1 + -2i) + -6 + 6i = 0 z2 + (-1 * z + -2i * z) + -6 + 6i = 0 Reorder the terms: z2 + (-2iz + -1z) + -6 + 6i = 0 z2 + (-2iz + -1z) + -6 + 6i = 0 Reorder the terms: -6 + 6i + -2iz + -1z + z2 = 0 Solving -6 + 6i + -2iz + -1z + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6i + -2iz + -1z + 6 + z2 = 0 + 6 Reorder the terms: -6 + 6 + 6i + -2iz + -1z + z2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 6i + -2iz + -1z + z2 = 0 + 6 6i + -2iz + -1z + z2 = 0 + 6 Combine like terms: 0 + 6 = 6 6i + -2iz + -1z + z2 = 6 Add 'z' to each side of the equation. 6i + -2iz + -1z + z + z2 = 6 + z Combine like terms: -1z + z = 0 6i + -2iz + 0 + z2 = 6 + z 6i + -2iz + z2 = 6 + z Add '-1z2' to each side of the equation. 6i + -2iz + z2 + -1z2 = 6 + z + -1z2 Combine like terms: z2 + -1z2 = 0 6i + -2iz + 0 = 6 + z + -1z2 6i + -2iz = 6 + z + -1z2 Reorder the terms: -6 + 6i + -2iz + -1z + z2 = 6 + z + -1z2 + -6 + -1z + z2 Reorder the terms: -6 + 6i + -2iz + -1z + z2 = 6 + -6 + z + -1z + -1z2 + z2 Combine like terms: 6 + -6 = 0 -6 + 6i + -2iz + -1z + z2 = 0 + z + -1z + -1z2 + z2 -6 + 6i + -2iz + -1z + z2 = z + -1z + -1z2 + z2 Combine like terms: z + -1z = 0 -6 + 6i + -2iz + -1z + z2 = 0 + -1z2 + z2 -6 + 6i + -2iz + -1z + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 -6 + 6i + -2iz + -1z + z2 = 0 The solution to this equation could not be determined.
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