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Simplifying (X + -4 + 3i)(x + -4 + -3i) = 0 Reorder the terms: (-4 + X + 3i)(x + -4 + -3i) = 0 Reorder the terms: (-4 + X + 3i)(-4 + -3i + x) = 0 Multiply (-4 + X + 3i) * (-4 + -3i + x) (-4(-4 + -3i + x) + X(-4 + -3i + x) + 3i * (-4 + -3i + x)) = 0 ((-4 * -4 + -3i * -4 + x * -4) + X(-4 + -3i + x) + 3i * (-4 + -3i + x)) = 0 ((16 + 12i + -4x) + X(-4 + -3i + x) + 3i * (-4 + -3i + x)) = 0 (16 + 12i + -4x + (-4 * X + -3i * X + x * X) + 3i * (-4 + -3i + x)) = 0 (16 + 12i + -4x + (-4X + -3iX + xX) + 3i * (-4 + -3i + x)) = 0 (16 + 12i + -4x + -4X + -3iX + xX + (-4 * 3i + -3i * 3i + x * 3i)) = 0 Reorder the terms: (16 + 12i + -4x + -4X + -3iX + xX + (-12i + 3ix + -9i2)) = 0 (16 + 12i + -4x + -4X + -3iX + xX + (-12i + 3ix + -9i2)) = 0 Reorder the terms: (16 + -4X + 12i + -12i + -3iX + 3ix + -9i2 + -4x + xX) = 0 Combine like terms: 12i + -12i = 0 (16 + -4X + 0 + -3iX + 3ix + -9i2 + -4x + xX) = 0 (16 + -4X + -3iX + 3ix + -9i2 + -4x + xX) = 0 Solving 16 + -4X + -3iX + 3ix + -9i2 + -4x + xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -4X + -3iX + 3ix + -9i2 + -4x + -16 + xX = 0 + -16 Reorder the terms: 16 + -16 + -4X + -3iX + 3ix + -9i2 + -4x + xX = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -4X + -3iX + 3ix + -9i2 + -4x + xX = 0 + -16 -4X + -3iX + 3ix + -9i2 + -4x + xX = 0 + -16 Combine like terms: 0 + -16 = -16 -4X + -3iX + 3ix + -9i2 + -4x + xX = -16 Add '-3ix' to each side of the equation. -4X + -3iX + 3ix + -9i2 + -4x + -3ix + xX = -16 + -3ix Reorder the terms: -4X + -3iX + 3ix + -3ix + -9i2 + -4x + xX = -16 + -3ix Combine like terms: 3ix + -3ix = 0 -4X + -3iX + 0 + -9i2 + -4x + xX = -16 + -3ix -4X + -3iX + -9i2 + -4x + xX = -16 + -3ix Add '9i2' to each side of the equation. -4X + -3iX + -9i2 + -4x + 9i2 + xX = -16 + -3ix + 9i2 Reorder the terms: -4X + -3iX + -9i2 + 9i2 + -4x + xX = -16 + -3ix + 9i2 Combine like terms: -9i2 + 9i2 = 0 -4X + -3iX + 0 + -4x + xX = -16 + -3ix + 9i2 -4X + -3iX + -4x + xX = -16 + -3ix + 9i2 Add '4x' to each side of the equation. -4X + -3iX + -4x + 4x + xX = -16 + -3ix + 9i2 + 4x Combine like terms: -4x + 4x = 0 -4X + -3iX + 0 + xX = -16 + -3ix + 9i2 + 4x -4X + -3iX + xX = -16 + -3ix + 9i2 + 4x Reorder the terms: 16 + -4X + -3iX + 3ix + -9i2 + -4x + xX = -16 + -3ix + 9i2 + 4x + 16 + 3ix + -9i2 + -4x Reorder the terms: 16 + -4X + -3iX + 3ix + -9i2 + -4x + xX = -16 + 16 + -3ix + 3ix + 9i2 + -9i2 + 4x + -4x Combine like terms: -16 + 16 = 0 16 + -4X + -3iX + 3ix + -9i2 + -4x + xX = 0 + -3ix + 3ix + 9i2 + -9i2 + 4x + -4x 16 + -4X + -3iX + 3ix + -9i2 + -4x + xX = -3ix + 3ix + 9i2 + -9i2 + 4x + -4x Combine like terms: -3ix + 3ix = 0 16 + -4X + -3iX + 3ix + -9i2 + -4x + xX = 0 + 9i2 + -9i2 + 4x + -4x 16 + -4X + -3iX + 3ix + -9i2 + -4x + xX = 9i2 + -9i2 + 4x + -4x Combine like terms: 9i2 + -9i2 = 0 16 + -4X + -3iX + 3ix + -9i2 + -4x + xX = 0 + 4x + -4x 16 + -4X + -3iX + 3ix + -9i2 + -4x + xX = 4x + -4x Combine like terms: 4x + -4x = 0 16 + -4X + -3iX + 3ix + -9i2 + -4x + xX = 0 The solution to this equation could not be determined.
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