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Simplifying (2 + -1i) * z + -10 + -5i = 0 Reorder the terms for easier multiplication: z(2 + -1i) + -10 + -5i = 0 (2 * z + -1i * z) + -10 + -5i = 0 Reorder the terms: (-1iz + 2z) + -10 + -5i = 0 (-1iz + 2z) + -10 + -5i = 0 Reorder the terms: -10 + -5i + -1iz + 2z = 0 Solving -10 + -5i + -1iz + 2z = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '10' to each side of the equation. -10 + -5i + -1iz + 10 + 2z = 0 + 10 Reorder the terms: -10 + 10 + -5i + -1iz + 2z = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -5i + -1iz + 2z = 0 + 10 -5i + -1iz + 2z = 0 + 10 Combine like terms: 0 + 10 = 10 -5i + -1iz + 2z = 10 Add '-2z' to each side of the equation. -5i + -1iz + 2z + -2z = 10 + -2z Combine like terms: 2z + -2z = 0 -5i + -1iz + 0 = 10 + -2z -5i + -1iz = 10 + -2z Reorder the terms: -10 + -5i + -1iz + 2z = 10 + -2z + -10 + 2z Reorder the terms: -10 + -5i + -1iz + 2z = 10 + -10 + -2z + 2z Combine like terms: 10 + -10 = 0 -10 + -5i + -1iz + 2z = 0 + -2z + 2z -10 + -5i + -1iz + 2z = -2z + 2z Combine like terms: -2z + 2z = 0 -10 + -5i + -1iz + 2z = 0 The solution to this equation could not be determined.
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