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Simplifying z2 + -6z + 9 + -4i = 0 Reorder the terms: 9 + -4i + -6z + z2 = 0 Solving 9 + -4i + -6z + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -4i + -6z + -9 + z2 = 0 + -9 Reorder the terms: 9 + -9 + -4i + -6z + z2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4i + -6z + z2 = 0 + -9 -4i + -6z + z2 = 0 + -9 Combine like terms: 0 + -9 = -9 -4i + -6z + z2 = -9 Add '6z' to each side of the equation. -4i + -6z + 6z + z2 = -9 + 6z Combine like terms: -6z + 6z = 0 -4i + 0 + z2 = -9 + 6z -4i + z2 = -9 + 6z Add '-1z2' to each side of the equation. -4i + z2 + -1z2 = -9 + 6z + -1z2 Combine like terms: z2 + -1z2 = 0 -4i + 0 = -9 + 6z + -1z2 -4i = -9 + 6z + -1z2 Divide each side by '-4'. i = 2.25 + -1.5z + 0.25z2 Simplifying i = 2.25 + -1.5z + 0.25z2
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