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