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Simplifying z2 + -1(6 + -2i) * z + 17 + -6 = 0 Reorder the terms for easier multiplication: z2 + -1z(6 + -2i) + 17 + -6 = 0 z2 + (6 * -1z + -2i * -1z) + 17 + -6 = 0 Reorder the terms: z2 + (2iz + -6z) + 17 + -6 = 0 z2 + (2iz + -6z) + 17 + -6 = 0 Reorder the terms: 17 + -6 + 2iz + -6z + z2 = 0 Combine like terms: 17 + -6 = 11 11 + 2iz + -6z + z2 = 0 Solving 11 + 2iz + -6z + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + 2iz + -6z + -11 + z2 = 0 + -11 Reorder the terms: 11 + -11 + 2iz + -6z + z2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2iz + -6z + z2 = 0 + -11 2iz + -6z + z2 = 0 + -11 Combine like terms: 0 + -11 = -11 2iz + -6z + z2 = -11 Add '6z' to each side of the equation. 2iz + -6z + 6z + z2 = -11 + 6z Combine like terms: -6z + 6z = 0 2iz + 0 + z2 = -11 + 6z 2iz + z2 = -11 + 6z Add '-1z2' to each side of the equation. 2iz + z2 + -1z2 = -11 + 6z + -1z2 Combine like terms: z2 + -1z2 = 0 2iz + 0 = -11 + 6z + -1z2 2iz = -11 + 6z + -1z2 Divide each side by '2z'. i = -5.5z-1 + 3 + -0.5z Simplifying i = -5.5z-1 + 3 + -0.5z Reorder the terms: i = 3 + -5.5z-1 + -0.5z
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