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Simplifying z3 + 9iz2 + 2(6i + -11) * z + -3(4i + 12) = 0 Reorder the terms: z3 + 9iz2 + 2(-11 + 6i) * z + -3(4i + 12) = 0 Reorder the terms for easier multiplication: z3 + 9iz2 + 2z(-11 + 6i) + -3(4i + 12) = 0 z3 + 9iz2 + (-11 * 2z + 6i * 2z) + -3(4i + 12) = 0 Reorder the terms: z3 + 9iz2 + (12iz + -22z) + -3(4i + 12) = 0 z3 + 9iz2 + (12iz + -22z) + -3(4i + 12) = 0 Reorder the terms: z3 + 9iz2 + 12iz + -22z + -3(12 + 4i) = 0 z3 + 9iz2 + 12iz + -22z + (12 * -3 + 4i * -3) = 0 z3 + 9iz2 + 12iz + -22z + (-36 + -12i) = 0 Reorder the terms: -36 + -12i + 12iz + 9iz2 + -22z + z3 = 0 Solving -36 + -12i + 12iz + 9iz2 + -22z + z3 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '36' to each side of the equation. -36 + -12i + 12iz + 9iz2 + -22z + 36 + z3 = 0 + 36 Reorder the terms: -36 + 36 + -12i + 12iz + 9iz2 + -22z + z3 = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -12i + 12iz + 9iz2 + -22z + z3 = 0 + 36 -12i + 12iz + 9iz2 + -22z + z3 = 0 + 36 Combine like terms: 0 + 36 = 36 -12i + 12iz + 9iz2 + -22z + z3 = 36 Add '22z' to each side of the equation. -12i + 12iz + 9iz2 + -22z + 22z + z3 = 36 + 22z Combine like terms: -22z + 22z = 0 -12i + 12iz + 9iz2 + 0 + z3 = 36 + 22z -12i + 12iz + 9iz2 + z3 = 36 + 22z Add '-1z3' to each side of the equation. -12i + 12iz + 9iz2 + z3 + -1z3 = 36 + 22z + -1z3 Combine like terms: z3 + -1z3 = 0 -12i + 12iz + 9iz2 + 0 = 36 + 22z + -1z3 -12i + 12iz + 9iz2 = 36 + 22z + -1z3 Reorder the terms: -36 + -12i + 12iz + 9iz2 + -22z + z3 = 36 + 22z + -1z3 + -36 + -22z + z3 Reorder the terms: -36 + -12i + 12iz + 9iz2 + -22z + z3 = 36 + -36 + 22z + -22z + -1z3 + z3 Combine like terms: 36 + -36 = 0 -36 + -12i + 12iz + 9iz2 + -22z + z3 = 0 + 22z + -22z + -1z3 + z3 -36 + -12i + 12iz + 9iz2 + -22z + z3 = 22z + -22z + -1z3 + z3 Combine like terms: 22z + -22z = 0 -36 + -12i + 12iz + 9iz2 + -22z + z3 = 0 + -1z3 + z3 -36 + -12i + 12iz + 9iz2 + -22z + z3 = -1z3 + z3 Combine like terms: -1z3 + z3 = 0 -36 + -12i + 12iz + 9iz2 + -22z + z3 = 0 The solution to this equation could not be determined.
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