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Simplifying (X + -5 + -3i)(x + -5 + 3i) = 34 Reorder the terms: (-5 + X + -3i)(x + -5 + 3i) = 34 Reorder the terms: (-5 + X + -3i)(-5 + 3i + x) = 34 Multiply (-5 + X + -3i) * (-5 + 3i + x) (-5(-5 + 3i + x) + X(-5 + 3i + x) + -3i * (-5 + 3i + x)) = 34 ((-5 * -5 + 3i * -5 + x * -5) + X(-5 + 3i + x) + -3i * (-5 + 3i + x)) = 34 ((25 + -15i + -5x) + X(-5 + 3i + x) + -3i * (-5 + 3i + x)) = 34 (25 + -15i + -5x + (-5 * X + 3i * X + x * X) + -3i * (-5 + 3i + x)) = 34 (25 + -15i + -5x + (-5X + 3iX + xX) + -3i * (-5 + 3i + x)) = 34 (25 + -15i + -5x + -5X + 3iX + xX + (-5 * -3i + 3i * -3i + x * -3i)) = 34 Reorder the terms: (25 + -15i + -5x + -5X + 3iX + xX + (15i + -3ix + -9i2)) = 34 (25 + -15i + -5x + -5X + 3iX + xX + (15i + -3ix + -9i2)) = 34 Reorder the terms: (25 + -5X + -15i + 15i + 3iX + -3ix + -9i2 + -5x + xX) = 34 Combine like terms: -15i + 15i = 0 (25 + -5X + 0 + 3iX + -3ix + -9i2 + -5x + xX) = 34 (25 + -5X + 3iX + -3ix + -9i2 + -5x + xX) = 34 Solving 25 + -5X + 3iX + -3ix + -9i2 + -5x + xX = 34 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -5X + 3iX + -3ix + -9i2 + -5x + -25 + xX = 34 + -25 Reorder the terms: 25 + -25 + -5X + 3iX + -3ix + -9i2 + -5x + xX = 34 + -25 Combine like terms: 25 + -25 = 0 0 + -5X + 3iX + -3ix + -9i2 + -5x + xX = 34 + -25 -5X + 3iX + -3ix + -9i2 + -5x + xX = 34 + -25 Combine like terms: 34 + -25 = 9 -5X + 3iX + -3ix + -9i2 + -5x + xX = 9 Add '3ix' to each side of the equation. -5X + 3iX + -3ix + -9i2 + -5x + 3ix + xX = 9 + 3ix Reorder the terms: -5X + 3iX + -3ix + 3ix + -9i2 + -5x + xX = 9 + 3ix Combine like terms: -3ix + 3ix = 0 -5X + 3iX + 0 + -9i2 + -5x + xX = 9 + 3ix -5X + 3iX + -9i2 + -5x + xX = 9 + 3ix Add '9i2' to each side of the equation. -5X + 3iX + -9i2 + -5x + 9i2 + xX = 9 + 3ix + 9i2 Reorder the terms: -5X + 3iX + -9i2 + 9i2 + -5x + xX = 9 + 3ix + 9i2 Combine like terms: -9i2 + 9i2 = 0 -5X + 3iX + 0 + -5x + xX = 9 + 3ix + 9i2 -5X + 3iX + -5x + xX = 9 + 3ix + 9i2 Add '5x' to each side of the equation. -5X + 3iX + -5x + 5x + xX = 9 + 3ix + 9i2 + 5x Combine like terms: -5x + 5x = 0 -5X + 3iX + 0 + xX = 9 + 3ix + 9i2 + 5x -5X + 3iX + xX = 9 + 3ix + 9i2 + 5x Reorder the terms: -9 + -5X + 3iX + -3ix + -9i2 + -5x + xX = 9 + 3ix + 9i2 + 5x + -9 + -3ix + -9i2 + -5x Reorder the terms: -9 + -5X + 3iX + -3ix + -9i2 + -5x + xX = 9 + -9 + 3ix + -3ix + 9i2 + -9i2 + 5x + -5x Combine like terms: 9 + -9 = 0 -9 + -5X + 3iX + -3ix + -9i2 + -5x + xX = 0 + 3ix + -3ix + 9i2 + -9i2 + 5x + -5x -9 + -5X + 3iX + -3ix + -9i2 + -5x + xX = 3ix + -3ix + 9i2 + -9i2 + 5x + -5x Combine like terms: 3ix + -3ix = 0 -9 + -5X + 3iX + -3ix + -9i2 + -5x + xX = 0 + 9i2 + -9i2 + 5x + -5x -9 + -5X + 3iX + -3ix + -9i2 + -5x + xX = 9i2 + -9i2 + 5x + -5x Combine like terms: 9i2 + -9i2 = 0 -9 + -5X + 3iX + -3ix + -9i2 + -5x + xX = 0 + 5x + -5x -9 + -5X + 3iX + -3ix + -9i2 + -5x + xX = 5x + -5x Combine like terms: 5x + -5x = 0 -9 + -5X + 3iX + -3ix + -9i2 + -5x + xX = 0 The solution to this equation could not be determined.
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