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Simplifying z2 + -1(3 + -2i) * z + 5 = 0 Reorder the terms for easier multiplication: z2 + -1z(3 + -2i) + 5 = 0 z2 + (3 * -1z + -2i * -1z) + 5 = 0 Reorder the terms: z2 + (2iz + -3z) + 5 = 0 z2 + (2iz + -3z) + 5 = 0 Reorder the terms: 5 + 2iz + -3z + z2 = 0 Solving 5 + 2iz + -3z + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 2iz + -3z + -5 + z2 = 0 + -5 Reorder the terms: 5 + -5 + 2iz + -3z + z2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2iz + -3z + z2 = 0 + -5 2iz + -3z + z2 = 0 + -5 Combine like terms: 0 + -5 = -5 2iz + -3z + z2 = -5 Add '3z' to each side of the equation. 2iz + -3z + 3z + z2 = -5 + 3z Combine like terms: -3z + 3z = 0 2iz + 0 + z2 = -5 + 3z 2iz + z2 = -5 + 3z Add '-1z2' to each side of the equation. 2iz + z2 + -1z2 = -5 + 3z + -1z2 Combine like terms: z2 + -1z2 = 0 2iz + 0 = -5 + 3z + -1z2 2iz = -5 + 3z + -1z2 Divide each side by '2z'. i = -2.5z-1 + 1.5 + -0.5z Simplifying i = -2.5z-1 + 1.5 + -0.5z Reorder the terms: i = 1.5 + -2.5z-1 + -0.5z
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