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Simplifying (x + -7 + -4i)(x + -7 + 4i) = y Reorder the terms: (-7 + -4i + x)(x + -7 + 4i) = y Reorder the terms: (-7 + -4i + x)(-7 + 4i + x) = y Multiply (-7 + -4i + x) * (-7 + 4i + x) (-7(-7 + 4i + x) + -4i * (-7 + 4i + x) + x(-7 + 4i + x)) = y ((-7 * -7 + 4i * -7 + x * -7) + -4i * (-7 + 4i + x) + x(-7 + 4i + x)) = y ((49 + -28i + -7x) + -4i * (-7 + 4i + x) + x(-7 + 4i + x)) = y (49 + -28i + -7x + (-7 * -4i + 4i * -4i + x * -4i) + x(-7 + 4i + x)) = y Reorder the terms: (49 + -28i + -7x + (28i + -4ix + -16i2) + x(-7 + 4i + x)) = y (49 + -28i + -7x + (28i + -4ix + -16i2) + x(-7 + 4i + x)) = y (49 + -28i + -7x + 28i + -4ix + -16i2 + (-7 * x + 4i * x + x * x)) = y Reorder the terms: (49 + -28i + -7x + 28i + -4ix + -16i2 + (4ix + -7x + x2)) = y (49 + -28i + -7x + 28i + -4ix + -16i2 + (4ix + -7x + x2)) = y Reorder the terms: (49 + -28i + 28i + -4ix + 4ix + -16i2 + -7x + -7x + x2) = y Combine like terms: -28i + 28i = 0 (49 + 0 + -4ix + 4ix + -16i2 + -7x + -7x + x2) = y (49 + -4ix + 4ix + -16i2 + -7x + -7x + x2) = y Combine like terms: -4ix + 4ix = 0 (49 + 0 + -16i2 + -7x + -7x + x2) = y (49 + -16i2 + -7x + -7x + x2) = y Combine like terms: -7x + -7x = -14x (49 + -16i2 + -14x + x2) = y Solving 49 + -16i2 + -14x + x2 = y Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -16i2 + -14x + -49 + x2 = -49 + y Reorder the terms: 49 + -49 + -16i2 + -14x + x2 = -49 + y Combine like terms: 49 + -49 = 0 0 + -16i2 + -14x + x2 = -49 + y -16i2 + -14x + x2 = -49 + y Add '14x' to each side of the equation. -16i2 + -14x + 14x + x2 = -49 + 14x + y Combine like terms: -14x + 14x = 0 -16i2 + 0 + x2 = -49 + 14x + y -16i2 + x2 = -49 + 14x + y Add '-1x2' to each side of the equation. -16i2 + x2 + -1x2 = -49 + 14x + -1x2 + y Combine like terms: x2 + -1x2 = 0 -16i2 + 0 = -49 + 14x + -1x2 + y -16i2 = -49 + 14x + -1x2 + y Divide each side by '-16'. i2 = 3.0625 + -0.875x + 0.0625x2 + -0.0625y Simplifying i2 = 3.0625 + -0.875x + 0.0625x2 + -0.0625y Reorder the terms: -3.0625 + i2 + 0.875x + -0.0625x2 + 0.0625y = 3.0625 + -0.875x + 0.0625x2 + -0.0625y + -3.0625 + 0.875x + -0.0625x2 + 0.0625y Reorder the terms: -3.0625 + i2 + 0.875x + -0.0625x2 + 0.0625y = 3.0625 + -3.0625 + -0.875x + 0.875x + 0.0625x2 + -0.0625x2 + -0.0625y + 0.0625y Combine like terms: 3.0625 + -3.0625 = 0.0000 -3.0625 + i2 + 0.875x + -0.0625x2 + 0.0625y = 0.0000 + -0.875x + 0.875x + 0.0625x2 + -0.0625x2 + -0.0625y + 0.0625y -3.0625 + i2 + 0.875x + -0.0625x2 + 0.0625y = -0.875x + 0.875x + 0.0625x2 + -0.0625x2 + -0.0625y + 0.0625y Combine like terms: -0.875x + 0.875x = 0.000 -3.0625 + i2 + 0.875x + -0.0625x2 + 0.0625y = 0.000 + 0.0625x2 + -0.0625x2 + -0.0625y + 0.0625y -3.0625 + i2 + 0.875x + -0.0625x2 + 0.0625y = 0.0625x2 + -0.0625x2 + -0.0625y + 0.0625y Combine like terms: 0.0625x2 + -0.0625x2 = 0.0000 -3.0625 + i2 + 0.875x + -0.0625x2 + 0.0625y = 0.0000 + -0.0625y + 0.0625y -3.0625 + i2 + 0.875x + -0.0625x2 + 0.0625y = -0.0625y + 0.0625y Combine like terms: -0.0625y + 0.0625y = 0.0000 -3.0625 + i2 + 0.875x + -0.0625x2 + 0.0625y = 0.0000 The solution to this equation could not be determined.
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