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Simplifying (3 + i) * z2 + (5 + -5i) * z + (-2 + 16i) = 0 Reorder the terms for easier multiplication: z2(3 + i) + (5 + -5i) * z + (-2 + 16i) = 0 (3 * z2 + i * z2) + (5 + -5i) * z + (-2 + 16i) = 0 Reorder the terms: (iz2 + 3z2) + (5 + -5i) * z + (-2 + 16i) = 0 (iz2 + 3z2) + (5 + -5i) * z + (-2 + 16i) = 0 Reorder the terms for easier multiplication: iz2 + 3z2 + z(5 + -5i) + (-2 + 16i) = 0 iz2 + 3z2 + (5 * z + -5i * z) + (-2 + 16i) = 0 Reorder the terms: iz2 + 3z2 + (-5iz + 5z) + (-2 + 16i) = 0 iz2 + 3z2 + (-5iz + 5z) + (-2 + 16i) = 0 Remove parenthesis around (-2 + 16i) iz2 + 3z2 + -5iz + 5z + -2 + 16i = 0 Reorder the terms: -2 + 16i + -5iz + iz2 + 5z + 3z2 = 0 Solving -2 + 16i + -5iz + iz2 + 5z + 3z2 = 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 + 16i + -5iz + iz2 + 5z + 2 + 3z2 = 0 + 2 Reorder the terms: -2 + 2 + 16i + -5iz + iz2 + 5z + 3z2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 16i + -5iz + iz2 + 5z + 3z2 = 0 + 2 16i + -5iz + iz2 + 5z + 3z2 = 0 + 2 Combine like terms: 0 + 2 = 2 16i + -5iz + iz2 + 5z + 3z2 = 2 Add '-5z' to each side of the equation. 16i + -5iz + iz2 + 5z + -5z + 3z2 = 2 + -5z Combine like terms: 5z + -5z = 0 16i + -5iz + iz2 + 0 + 3z2 = 2 + -5z 16i + -5iz + iz2 + 3z2 = 2 + -5z Add '-3z2' to each side of the equation. 16i + -5iz + iz2 + 3z2 + -3z2 = 2 + -5z + -3z2 Combine like terms: 3z2 + -3z2 = 0 16i + -5iz + iz2 + 0 = 2 + -5z + -3z2 16i + -5iz + iz2 = 2 + -5z + -3z2 Reorder the terms: -2 + 16i + -5iz + iz2 + 5z + 3z2 = 2 + -5z + -3z2 + -2 + 5z + 3z2 Reorder the terms: -2 + 16i + -5iz + iz2 + 5z + 3z2 = 2 + -2 + -5z + 5z + -3z2 + 3z2 Combine like terms: 2 + -2 = 0 -2 + 16i + -5iz + iz2 + 5z + 3z2 = 0 + -5z + 5z + -3z2 + 3z2 -2 + 16i + -5iz + iz2 + 5z + 3z2 = -5z + 5z + -3z2 + 3z2 Combine like terms: -5z + 5z = 0 -2 + 16i + -5iz + iz2 + 5z + 3z2 = 0 + -3z2 + 3z2 -2 + 16i + -5iz + iz2 + 5z + 3z2 = -3z2 + 3z2 Combine like terms: -3z2 + 3z2 = 0 -2 + 16i + -5iz + iz2 + 5z + 3z2 = 0 The solution to this equation could not be determined.
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