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Simplifying (X + -2 + -5i)(x + -2 + 5i) = 0 Reorder the terms: (-2 + X + -5i)(x + -2 + 5i) = 0 Reorder the terms: (-2 + X + -5i)(-2 + 5i + x) = 0 Multiply (-2 + X + -5i) * (-2 + 5i + x) (-2(-2 + 5i + x) + X(-2 + 5i + x) + -5i * (-2 + 5i + x)) = 0 ((-2 * -2 + 5i * -2 + x * -2) + X(-2 + 5i + x) + -5i * (-2 + 5i + x)) = 0 ((4 + -10i + -2x) + X(-2 + 5i + x) + -5i * (-2 + 5i + x)) = 0 (4 + -10i + -2x + (-2 * X + 5i * X + x * X) + -5i * (-2 + 5i + x)) = 0 (4 + -10i + -2x + (-2X + 5iX + xX) + -5i * (-2 + 5i + x)) = 0 (4 + -10i + -2x + -2X + 5iX + xX + (-2 * -5i + 5i * -5i + x * -5i)) = 0 Reorder the terms: (4 + -10i + -2x + -2X + 5iX + xX + (10i + -5ix + -25i2)) = 0 (4 + -10i + -2x + -2X + 5iX + xX + (10i + -5ix + -25i2)) = 0 Reorder the terms: (4 + -2X + -10i + 10i + 5iX + -5ix + -25i2 + -2x + xX) = 0 Combine like terms: -10i + 10i = 0 (4 + -2X + 0 + 5iX + -5ix + -25i2 + -2x + xX) = 0 (4 + -2X + 5iX + -5ix + -25i2 + -2x + xX) = 0 Solving 4 + -2X + 5iX + -5ix + -25i2 + -2x + xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -2X + 5iX + -5ix + -25i2 + -2x + -4 + xX = 0 + -4 Reorder the terms: 4 + -4 + -2X + 5iX + -5ix + -25i2 + -2x + xX = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2X + 5iX + -5ix + -25i2 + -2x + xX = 0 + -4 -2X + 5iX + -5ix + -25i2 + -2x + xX = 0 + -4 Combine like terms: 0 + -4 = -4 -2X + 5iX + -5ix + -25i2 + -2x + xX = -4 Add '5ix' to each side of the equation. -2X + 5iX + -5ix + -25i2 + -2x + 5ix + xX = -4 + 5ix Reorder the terms: -2X + 5iX + -5ix + 5ix + -25i2 + -2x + xX = -4 + 5ix Combine like terms: -5ix + 5ix = 0 -2X + 5iX + 0 + -25i2 + -2x + xX = -4 + 5ix -2X + 5iX + -25i2 + -2x + xX = -4 + 5ix Add '25i2' to each side of the equation. -2X + 5iX + -25i2 + -2x + 25i2 + xX = -4 + 5ix + 25i2 Reorder the terms: -2X + 5iX + -25i2 + 25i2 + -2x + xX = -4 + 5ix + 25i2 Combine like terms: -25i2 + 25i2 = 0 -2X + 5iX + 0 + -2x + xX = -4 + 5ix + 25i2 -2X + 5iX + -2x + xX = -4 + 5ix + 25i2 Add '2x' to each side of the equation. -2X + 5iX + -2x + 2x + xX = -4 + 5ix + 25i2 + 2x Combine like terms: -2x + 2x = 0 -2X + 5iX + 0 + xX = -4 + 5ix + 25i2 + 2x -2X + 5iX + xX = -4 + 5ix + 25i2 + 2x Reorder the terms: 4 + -2X + 5iX + -5ix + -25i2 + -2x + xX = -4 + 5ix + 25i2 + 2x + 4 + -5ix + -25i2 + -2x Reorder the terms: 4 + -2X + 5iX + -5ix + -25i2 + -2x + xX = -4 + 4 + 5ix + -5ix + 25i2 + -25i2 + 2x + -2x Combine like terms: -4 + 4 = 0 4 + -2X + 5iX + -5ix + -25i2 + -2x + xX = 0 + 5ix + -5ix + 25i2 + -25i2 + 2x + -2x 4 + -2X + 5iX + -5ix + -25i2 + -2x + xX = 5ix + -5ix + 25i2 + -25i2 + 2x + -2x Combine like terms: 5ix + -5ix = 0 4 + -2X + 5iX + -5ix + -25i2 + -2x + xX = 0 + 25i2 + -25i2 + 2x + -2x 4 + -2X + 5iX + -5ix + -25i2 + -2x + xX = 25i2 + -25i2 + 2x + -2x Combine like terms: 25i2 + -25i2 = 0 4 + -2X + 5iX + -5ix + -25i2 + -2x + xX = 0 + 2x + -2x 4 + -2X + 5iX + -5ix + -25i2 + -2x + xX = 2x + -2x Combine like terms: 2x + -2x = 0 4 + -2X + 5iX + -5ix + -25i2 + -2x + xX = 0 The solution to this equation could not be determined.
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