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Simplifying z2 + -1(2i + -3) * z + 5 + -1i = 0 Reorder the terms: z2 + -1(-3 + 2i) * z + 5 + -1i = 0 Reorder the terms for easier multiplication: z2 + -1z(-3 + 2i) + 5 + -1i = 0 z2 + (-3 * -1z + 2i * -1z) + 5 + -1i = 0 Reorder the terms: z2 + (-2iz + 3z) + 5 + -1i = 0 z2 + (-2iz + 3z) + 5 + -1i = 0 Reorder the terms: 5 + -1i + -2iz + 3z + z2 = 0 Solving 5 + -1i + -2iz + 3z + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -1i + -2iz + 3z + -5 + z2 = 0 + -5 Reorder the terms: 5 + -5 + -1i + -2iz + 3z + z2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1i + -2iz + 3z + z2 = 0 + -5 -1i + -2iz + 3z + z2 = 0 + -5 Combine like terms: 0 + -5 = -5 -1i + -2iz + 3z + z2 = -5 Add '-3z' to each side of the equation. -1i + -2iz + 3z + -3z + z2 = -5 + -3z Combine like terms: 3z + -3z = 0 -1i + -2iz + 0 + z2 = -5 + -3z -1i + -2iz + z2 = -5 + -3z Add '-1z2' to each side of the equation. -1i + -2iz + z2 + -1z2 = -5 + -3z + -1z2 Combine like terms: z2 + -1z2 = 0 -1i + -2iz + 0 = -5 + -3z + -1z2 -1i + -2iz = -5 + -3z + -1z2 Reorder the terms: 5 + -1i + -2iz + 3z + z2 = -5 + -3z + -1z2 + 5 + 3z + z2 Reorder the terms: 5 + -1i + -2iz + 3z + z2 = -5 + 5 + -3z + 3z + -1z2 + z2 Combine like terms: -5 + 5 = 0 5 + -1i + -2iz + 3z + z2 = 0 + -3z + 3z + -1z2 + z2 5 + -1i + -2iz + 3z + z2 = -3z + 3z + -1z2 + z2 Combine like terms: -3z + 3z = 0 5 + -1i + -2iz + 3z + z2 = 0 + -1z2 + z2 5 + -1i + -2iz + 3z + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 5 + -1i + -2iz + 3z + z2 = 0 The solution to this equation could not be determined.
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