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Simplifying 2(z + -3i) + 2iz = z(1 + i) Reorder the terms: 2(-3i + z) + 2iz = z(1 + i) (-3i * 2 + z * 2) + 2iz = z(1 + i) (-6i + 2z) + 2iz = z(1 + i) Reorder the terms: -6i + 2iz + 2z = z(1 + i) -6i + 2iz + 2z = (1 * z + i * z) Reorder the terms: -6i + 2iz + 2z = (iz + 1z) -6i + 2iz + 2z = (iz + 1z) Solving -6i + 2iz + 2z = 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. -6i + 2iz + -1iz + 2z = iz + -1iz + 1z Combine like terms: 2iz + -1iz = 1iz -6i + 1iz + 2z = iz + -1iz + 1z Combine like terms: iz + -1iz = 0 -6i + 1iz + 2z = 0 + 1z -6i + 1iz + 2z = 1z Add '-2z' to each side of the equation. -6i + 1iz + 2z + -2z = 1z + -2z Combine like terms: 2z + -2z = 0 -6i + 1iz + 0 = 1z + -2z -6i + 1iz = 1z + -2z Combine like terms: 1z + -2z = -1z -6i + 1iz = -1z Combine like terms: -1z + z = 0 -6i + 1iz + z = 0 The solution to this equation could not be determined.
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