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Simplifying z2 + -1(2i + -3) * z + 4 = 0 Reorder the terms: z2 + -1(-3 + 2i) * z + 4 = 0 Reorder the terms for easier multiplication: z2 + -1z(-3 + 2i) + 4 = 0 z2 + (-3 * -1z + 2i * -1z) + 4 = 0 Reorder the terms: z2 + (-2iz + 3z) + 4 = 0 z2 + (-2iz + 3z) + 4 = 0 Reorder the terms: 4 + -2iz + 3z + z2 = 0 Solving 4 + -2iz + 3z + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -2iz + 3z + -4 + z2 = 0 + -4 Reorder the terms: 4 + -4 + -2iz + 3z + z2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2iz + 3z + z2 = 0 + -4 -2iz + 3z + z2 = 0 + -4 Combine like terms: 0 + -4 = -4 -2iz + 3z + z2 = -4 Add '-3z' to each side of the equation. -2iz + 3z + -3z + z2 = -4 + -3z Combine like terms: 3z + -3z = 0 -2iz + 0 + z2 = -4 + -3z -2iz + z2 = -4 + -3z Add '-1z2' to each side of the equation. -2iz + z2 + -1z2 = -4 + -3z + -1z2 Combine like terms: z2 + -1z2 = 0 -2iz + 0 = -4 + -3z + -1z2 -2iz = -4 + -3z + -1z2 Divide each side by '-2z'. i = 2z-1 + 1.5 + 0.5z Simplifying i = 2z-1 + 1.5 + 0.5z Reorder the terms: i = 1.5 + 2z-1 + 0.5z
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