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