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Simplifying [x + -1(5 + 3i)][x + -1(5 + 3i)] = 0 [x + (5 * -1 + 3i * -1)][x + -1(5 + 3i)] = 0 [x + (-5 + -3i)][x + -1(5 + 3i)] = 0 Reorder the terms: [-5 + -3i + x][x + -1(5 + 3i)] = 0 [-5 + -3i + x][x + (5 * -1 + 3i * -1)] = 0 [-5 + -3i + x][x + (-5 + -3i)] = 0 Reorder the terms: [-5 + -3i + x][-5 + -3i + x] = 0 Multiply [-5 + -3i + x] * [-5 + -3i + x] [-5[-5 + -3i + x] + -3i * [-5 + -3i + x] + x[-5 + -3i + x]] = 0 [[-5 * -5 + -3i * -5 + x * -5] + -3i * [-5 + -3i + x] + x[-5 + -3i + x]] = 0 [[25 + 15i + -5x] + -3i * [-5 + -3i + x] + x[-5 + -3i + x]] = 0 [25 + 15i + -5x + [-5 * -3i + -3i * -3i + x * -3i] + x[-5 + -3i + x]] = 0 Reorder the terms: [25 + 15i + -5x + [15i + -3ix + 9i2] + x[-5 + -3i + x]] = 0 [25 + 15i + -5x + [15i + -3ix + 9i2] + x[-5 + -3i + x]] = 0 [25 + 15i + -5x + 15i + -3ix + 9i2 + [-5 * x + -3i * x + x * x]] = 0 Reorder the terms: [25 + 15i + -5x + 15i + -3ix + 9i2 + [-3ix + -5x + x2]] = 0 [25 + 15i + -5x + 15i + -3ix + 9i2 + [-3ix + -5x + x2]] = 0 Reorder the terms: [25 + 15i + 15i + -3ix + -3ix + 9i2 + -5x + -5x + x2] = 0 Combine like terms: 15i + 15i = 30i [25 + 30i + -3ix + -3ix + 9i2 + -5x + -5x + x2] = 0 Combine like terms: -3ix + -3ix = -6ix [25 + 30i + -6ix + 9i2 + -5x + -5x + x2] = 0 Combine like terms: -5x + -5x = -10x [25 + 30i + -6ix + 9i2 + -10x + x2] = 0 Solving 25 + 30i + -6ix + 9i2 + -10x + x2 = 0 Solving for variable 'i'. The solution to this equation could not be determined.
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