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Simplifying y = (6x + -1)(x + -3 + -3i)(x + -3 + 3i) Reorder the terms: y = (-1 + 6x)(x + -3 + -3i)(x + -3 + 3i) Reorder the terms: y = (-1 + 6x)(-3 + -3i + x)(x + -3 + 3i) Reorder the terms: y = (-1 + 6x)(-3 + -3i + x)(-3 + 3i + x) Multiply (-1 + 6x) * (-3 + -3i + x) y = (-1(-3 + -3i + x) + 6x * (-3 + -3i + x))(-3 + 3i + x) y = ((-3 * -1 + -3i * -1 + x * -1) + 6x * (-3 + -3i + x))(-3 + 3i + x) y = ((3 + 3i + -1x) + 6x * (-3 + -3i + x))(-3 + 3i + x) y = (3 + 3i + -1x + (-3 * 6x + -3i * 6x + x * 6x))(-3 + 3i + x) Reorder the terms: y = (3 + 3i + -1x + (-18ix + -18x + 6x2))(-3 + 3i + x) y = (3 + 3i + -1x + (-18ix + -18x + 6x2))(-3 + 3i + x) Reorder the terms: y = (3 + 3i + -18ix + -1x + -18x + 6x2)(-3 + 3i + x) Combine like terms: -1x + -18x = -19x y = (3 + 3i + -18ix + -19x + 6x2)(-3 + 3i + x) Multiply (3 + 3i + -18ix + -19x + 6x2) * (-3 + 3i + x) y = (3(-3 + 3i + x) + 3i * (-3 + 3i + x) + -18ix * (-3 + 3i + x) + -19x * (-3 + 3i + x) + 6x2 * (-3 + 3i + x)) y = ((-3 * 3 + 3i * 3 + x * 3) + 3i * (-3 + 3i + x) + -18ix * (-3 + 3i + x) + -19x * (-3 + 3i + x) + 6x2 * (-3 + 3i + x)) y = ((-9 + 9i + 3x) + 3i * (-3 + 3i + x) + -18ix * (-3 + 3i + x) + -19x * (-3 + 3i + x) + 6x2 * (-3 + 3i + x)) y = (-9 + 9i + 3x + (-3 * 3i + 3i * 3i + x * 3i) + -18ix * (-3 + 3i + x) + -19x * (-3 + 3i + x) + 6x2 * (-3 + 3i + x)) Reorder the terms: y = (-9 + 9i + 3x + (-9i + 3ix + 9i2) + -18ix * (-3 + 3i + x) + -19x * (-3 + 3i + x) + 6x2 * (-3 + 3i + x)) y = (-9 + 9i + 3x + (-9i + 3ix + 9i2) + -18ix * (-3 + 3i + x) + -19x * (-3 + 3i + x) + 6x2 * (-3 + 3i + x)) y = (-9 + 9i + 3x + -9i + 3ix + 9i2 + (-3 * -18ix + 3i * -18ix + x * -18ix) + -19x * (-3 + 3i + x) + 6x2 * (-3 + 3i + x)) Reorder the terms: y = (-9 + 9i + 3x + -9i + 3ix + 9i2 + (54ix + -18ix2 + -54i2x) + -19x * (-3 + 3i + x) + 6x2 * (-3 + 3i + x)) y = (-9 + 9i + 3x + -9i + 3ix + 9i2 + (54ix + -18ix2 + -54i2x) + -19x * (-3 + 3i + x) + 6x2 * (-3 + 3i + x)) y = (-9 + 9i + 3x + -9i + 3ix + 9i2 + 54ix + -18ix2 + -54i2x + (-3 * -19x + 3i * -19x + x * -19x) + 6x2 * (-3 + 3i + x)) Reorder the terms: y = (-9 + 9i + 3x + -9i + 3ix + 9i2 + 54ix + -18ix2 + -54i2x + (-57ix + 57x + -19x2) + 6x2 * (-3 + 3i + x)) y = (-9 + 9i + 3x + -9i + 3ix + 9i2 + 54ix + -18ix2 + -54i2x + (-57ix + 57x + -19x2) + 6x2 * (-3 + 3i + x)) y = (-9 + 9i + 3x + -9i + 3ix + 9i2 + 54ix + -18ix2 + -54i2x + -57ix + 57x + -19x2 + (-3 * 6x2 + 3i * 6x2 + x * 6x2)) Reorder the terms: y = (-9 + 9i + 3x + -9i + 3ix + 9i2 + 54ix + -18ix2 + -54i2x + -57ix + 57x + -19x2 + (18ix2 + -18x2 + 6x3)) y = (-9 + 9i + 3x + -9i + 3ix + 9i2 + 54ix + -18ix2 + -54i2x + -57ix + 57x + -19x2 + (18ix2 + -18x2 + 6x3)) Reorder the terms: y = (-9 + 9i + -9i + 3ix + 54ix + -57ix + -18ix2 + 18ix2 + 9i2 + -54i2x + 3x + 57x + -19x2 + -18x2 + 6x3) Combine like terms: 9i + -9i = 0 y = (-9 + 0 + 3ix + 54ix + -57ix + -18ix2 + 18ix2 + 9i2 + -54i2x + 3x + 57x + -19x2 + -18x2 + 6x3) y = (-9 + 3ix + 54ix + -57ix + -18ix2 + 18ix2 + 9i2 + -54i2x + 3x + 57x + -19x2 + -18x2 + 6x3) Combine like terms: 3ix + 54ix = 57ix y = (-9 + 57ix + -57ix + -18ix2 + 18ix2 + 9i2 + -54i2x + 3x + 57x + -19x2 + -18x2 + 6x3) Combine like terms: 57ix + -57ix = 0 y = (-9 + 0 + -18ix2 + 18ix2 + 9i2 + -54i2x + 3x + 57x + -19x2 + -18x2 + 6x3) y = (-9 + -18ix2 + 18ix2 + 9i2 + -54i2x + 3x + 57x + -19x2 + -18x2 + 6x3) Combine like terms: -18ix2 + 18ix2 = 0 y = (-9 + 0 + 9i2 + -54i2x + 3x + 57x + -19x2 + -18x2 + 6x3) y = (-9 + 9i2 + -54i2x + 3x + 57x + -19x2 + -18x2 + 6x3) Combine like terms: 3x + 57x = 60x y = (-9 + 9i2 + -54i2x + 60x + -19x2 + -18x2 + 6x3) Combine like terms: -19x2 + -18x2 = -37x2 y = (-9 + 9i2 + -54i2x + 60x + -37x2 + 6x3) Solving y = -9 + 9i2 + -54i2x + 60x + -37x2 + 6x3 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = -9 + 9i2 + -54i2x + 60x + -37x2 + 6x3
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