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Simplifying z2 + (-2 + 2i) * z + -10 = 0 Reorder the terms for easier multiplication: z2 + z(-2 + 2i) + -10 = 0 z2 + (-2 * z + 2i * z) + -10 = 0 Reorder the terms: z2 + (2iz + -2z) + -10 = 0 z2 + (2iz + -2z) + -10 = 0 Reorder the terms: -10 + 2iz + -2z + z2 = 0 Solving -10 + 2iz + -2z + z2 = 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 + 2iz + -2z + 10 + z2 = 0 + 10 Reorder the terms: -10 + 10 + 2iz + -2z + z2 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 2iz + -2z + z2 = 0 + 10 2iz + -2z + z2 = 0 + 10 Combine like terms: 0 + 10 = 10 2iz + -2z + z2 = 10 Add '2z' to each side of the equation. 2iz + -2z + 2z + z2 = 10 + 2z Combine like terms: -2z + 2z = 0 2iz + 0 + z2 = 10 + 2z 2iz + z2 = 10 + 2z Add '-1z2' to each side of the equation. 2iz + z2 + -1z2 = 10 + 2z + -1z2 Combine like terms: z2 + -1z2 = 0 2iz + 0 = 10 + 2z + -1z2 2iz = 10 + 2z + -1z2 Divide each side by '2z'. i = 5z-1 + 1 + -0.5z Simplifying i = 5z-1 + 1 + -0.5z Reorder the terms: i = 1 + 5z-1 + -0.5z
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