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Simplifying z2 + -1(2 + -1i) * z + 7 + -1 = 0 Reorder the terms for easier multiplication: z2 + -1z(2 + -1i) + 7 + -1 = 0 z2 + (2 * -1z + -1i * -1z) + 7 + -1 = 0 Reorder the terms: z2 + (1iz + -2z) + 7 + -1 = 0 z2 + (1iz + -2z) + 7 + -1 = 0 Reorder the terms: 7 + -1 + 1iz + -2z + z2 = 0 Combine like terms: 7 + -1 = 6 6 + 1iz + -2z + z2 = 0 Solving 6 + 1iz + -2z + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 1iz + -2z + -6 + z2 = 0 + -6 Reorder the terms: 6 + -6 + 1iz + -2z + z2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 1iz + -2z + z2 = 0 + -6 1iz + -2z + z2 = 0 + -6 Combine like terms: 0 + -6 = -6 1iz + -2z + z2 = -6 Add '2z' to each side of the equation. 1iz + -2z + 2z + z2 = -6 + 2z Combine like terms: -2z + 2z = 0 1iz + 0 + z2 = -6 + 2z 1iz + z2 = -6 + 2z Add '-1z2' to each side of the equation. 1iz + z2 + -1z2 = -6 + 2z + -1z2 Combine like terms: z2 + -1z2 = 0 1iz + 0 = -6 + 2z + -1z2 1iz = -6 + 2z + -1z2 Divide each side by '1z'. i = -6z-1 + 2 + -1z Simplifying i = -6z-1 + 2 + -1z Reorder the terms: i = 2 + -6z-1 + -1z
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