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Simplifying 0 = [x + -1(3 + -1i)][x + -1(3 + i)] 0 = [x + (3 * -1 + -1i * -1)][x + -1(3 + i)] 0 = [x + (-3 + 1i)][x + -1(3 + i)] Reorder the terms: 0 = [-3 + 1i + x][x + -1(3 + i)] 0 = [-3 + 1i + x][x + (3 * -1 + i * -1)] 0 = [-3 + 1i + x][x + (-3 + -1i)] Reorder the terms: 0 = [-3 + 1i + x][-3 + -1i + x] Multiply [-3 + 1i + x] * [-3 + -1i + x] 0 = [-3[-3 + -1i + x] + 1i * [-3 + -1i + x] + x[-3 + -1i + x]] 0 = [[-3 * -3 + -1i * -3 + x * -3] + 1i * [-3 + -1i + x] + x[-3 + -1i + x]] 0 = [[9 + 3i + -3x] + 1i * [-3 + -1i + x] + x[-3 + -1i + x]] 0 = [9 + 3i + -3x + [-3 * 1i + -1i * 1i + x * 1i] + x[-3 + -1i + x]] Reorder the terms: 0 = [9 + 3i + -3x + [-3i + 1ix + -1i2] + x[-3 + -1i + x]] 0 = [9 + 3i + -3x + [-3i + 1ix + -1i2] + x[-3 + -1i + x]] 0 = [9 + 3i + -3x + -3i + 1ix + -1i2 + [-3 * x + -1i * x + x * x]] Reorder the terms: 0 = [9 + 3i + -3x + -3i + 1ix + -1i2 + [-1ix + -3x + x2]] 0 = [9 + 3i + -3x + -3i + 1ix + -1i2 + [-1ix + -3x + x2]] Reorder the terms: 0 = [9 + 3i + -3i + 1ix + -1ix + -1i2 + -3x + -3x + x2] Combine like terms: 3i + -3i = 0 0 = [9 + 0 + 1ix + -1ix + -1i2 + -3x + -3x + x2] 0 = [9 + 1ix + -1ix + -1i2 + -3x + -3x + x2] Combine like terms: 1ix + -1ix = 0 0 = [9 + 0 + -1i2 + -3x + -3x + x2] 0 = [9 + -1i2 + -3x + -3x + x2] Combine like terms: -3x + -3x = -6x 0 = [9 + -1i2 + -6x + x2] Solving 0 = 9 + -1i2 + -6x + x2 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add 'i2' to each side of the equation. 0 + i2 = 9 + -1i2 + -6x + i2 + x2 Remove the zero: i2 = 9 + -1i2 + -6x + i2 + x2 Reorder the terms: i2 = 9 + -1i2 + i2 + -6x + x2 Combine like terms: -1i2 + i2 = 0 i2 = 9 + 0 + -6x + x2 i2 = 9 + -6x + x2 Simplifying i2 = 9 + -6x + x2 Reorder the terms: -9 + i2 + 6x + -1x2 = 9 + -6x + x2 + -9 + 6x + -1x2 Reorder the terms: -9 + i2 + 6x + -1x2 = 9 + -9 + -6x + 6x + x2 + -1x2 Combine like terms: 9 + -9 = 0 -9 + i2 + 6x + -1x2 = 0 + -6x + 6x + x2 + -1x2 -9 + i2 + 6x + -1x2 = -6x + 6x + x2 + -1x2 Combine like terms: -6x + 6x = 0 -9 + i2 + 6x + -1x2 = 0 + x2 + -1x2 -9 + i2 + 6x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -9 + i2 + 6x + -1x2 = 0 The solution to this equation could not be determined.
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