y=(x-7)(5-i)(5+i)

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Solution for y=(x-7)(5-i)(5+i) equation:


Simplifying
y = (x + -7)(5 + -1i)(5 + i)

Reorder the terms:
y = (-7 + x)(5 + -1i)(5 + i)

Multiply (-7 + x) * (5 + -1i)
y = (-7(5 + -1i) + x(5 + -1i))(5 + i)
y = ((5 * -7 + -1i * -7) + x(5 + -1i))(5 + i)
y = ((-35 + 7i) + x(5 + -1i))(5 + i)
y = (-35 + 7i + (5 * x + -1i * x))(5 + i)

Reorder the terms:
y = (-35 + 7i + (-1ix + 5x))(5 + i)
y = (-35 + 7i + (-1ix + 5x))(5 + i)
y = (-35 + 7i + -1ix + 5x)(5 + i)

Multiply (-35 + 7i + -1ix + 5x) * (5 + i)
y = (-35(5 + i) + 7i * (5 + i) + -1ix * (5 + i) + 5x * (5 + i))
y = ((5 * -35 + i * -35) + 7i * (5 + i) + -1ix * (5 + i) + 5x * (5 + i))
y = ((-175 + -35i) + 7i * (5 + i) + -1ix * (5 + i) + 5x * (5 + i))
y = (-175 + -35i + (5 * 7i + i * 7i) + -1ix * (5 + i) + 5x * (5 + i))
y = (-175 + -35i + (35i + 7i2) + -1ix * (5 + i) + 5x * (5 + i))
y = (-175 + -35i + 35i + 7i2 + (5 * -1ix + i * -1ix) + 5x * (5 + i))
y = (-175 + -35i + 35i + 7i2 + (-5ix + -1i2x) + 5x * (5 + i))
y = (-175 + -35i + 35i + 7i2 + -5ix + -1i2x + (5 * 5x + i * 5x))

Reorder the terms:
y = (-175 + -35i + 35i + 7i2 + -5ix + -1i2x + (5ix + 25x))
y = (-175 + -35i + 35i + 7i2 + -5ix + -1i2x + (5ix + 25x))

Reorder the terms:
y = (-175 + -35i + 35i + -5ix + 5ix + 7i2 + -1i2x + 25x)

Combine like terms: -35i + 35i = 0
y = (-175 + 0 + -5ix + 5ix + 7i2 + -1i2x + 25x)
y = (-175 + -5ix + 5ix + 7i2 + -1i2x + 25x)

Combine like terms: -5ix + 5ix = 0
y = (-175 + 0 + 7i2 + -1i2x + 25x)
y = (-175 + 7i2 + -1i2x + 25x)

Solving
y = -175 + 7i2 + -1i2x + 25x

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Simplifying
y = -175 + 7i2 + -1i2x + 25x

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