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Simplifying 4z4(1 + 3i) * z + -3(5 + 6i) = 0 Reorder the terms for easier multiplication: 4z4 * z(1 + 3i) + -3(5 + 6i) = 0 Multiply z4 * z 4z5(1 + 3i) + -3(5 + 6i) = 0 (1 * 4z5 + 3i * 4z5) + -3(5 + 6i) = 0 Reorder the terms: (12iz5 + 4z5) + -3(5 + 6i) = 0 (12iz5 + 4z5) + -3(5 + 6i) = 0 12iz5 + 4z5 + (5 * -3 + 6i * -3) = 0 12iz5 + 4z5 + (-15 + -18i) = 0 Reorder the terms: -15 + -18i + 12iz5 + 4z5 = 0 Solving -15 + -18i + 12iz5 + 4z5 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '15' to each side of the equation. -15 + -18i + 12iz5 + 15 + 4z5 = 0 + 15 Reorder the terms: -15 + 15 + -18i + 12iz5 + 4z5 = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -18i + 12iz5 + 4z5 = 0 + 15 -18i + 12iz5 + 4z5 = 0 + 15 Combine like terms: 0 + 15 = 15 -18i + 12iz5 + 4z5 = 15 Add '-4z5' to each side of the equation. -18i + 12iz5 + 4z5 + -4z5 = 15 + -4z5 Combine like terms: 4z5 + -4z5 = 0 -18i + 12iz5 + 0 = 15 + -4z5 -18i + 12iz5 = 15 + -4z5 Reorder the terms: -15 + -18i + 12iz5 + 4z5 = 15 + -4z5 + -15 + 4z5 Reorder the terms: -15 + -18i + 12iz5 + 4z5 = 15 + -15 + -4z5 + 4z5 Combine like terms: 15 + -15 = 0 -15 + -18i + 12iz5 + 4z5 = 0 + -4z5 + 4z5 -15 + -18i + 12iz5 + 4z5 = -4z5 + 4z5 Combine like terms: -4z5 + 4z5 = 0 -15 + -18i + 12iz5 + 4z5 = 0 The solution to this equation could not be determined.
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