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

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


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

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

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

Multiply (-7 + -1i + x) * (-7 + 1i + x)
(-7(-7 + 1i + x) + -1i * (-7 + 1i + x) + x(-7 + 1i + x)) = y
((-7 * -7 + 1i * -7 + x * -7) + -1i * (-7 + 1i + x) + x(-7 + 1i + x)) = y
((49 + -7i + -7x) + -1i * (-7 + 1i + x) + x(-7 + 1i + x)) = y
(49 + -7i + -7x + (-7 * -1i + 1i * -1i + x * -1i) + x(-7 + 1i + x)) = y

Reorder the terms:
(49 + -7i + -7x + (7i + -1ix + -1i2) + x(-7 + 1i + x)) = y
(49 + -7i + -7x + (7i + -1ix + -1i2) + x(-7 + 1i + x)) = y
(49 + -7i + -7x + 7i + -1ix + -1i2 + (-7 * x + 1i * x + x * x)) = y

Reorder the terms:
(49 + -7i + -7x + 7i + -1ix + -1i2 + (1ix + -7x + x2)) = y
(49 + -7i + -7x + 7i + -1ix + -1i2 + (1ix + -7x + x2)) = y

Reorder the terms:
(49 + -7i + 7i + -1ix + 1ix + -1i2 + -7x + -7x + x2) = y

Combine like terms: -7i + 7i = 0
(49 + 0 + -1ix + 1ix + -1i2 + -7x + -7x + x2) = y
(49 + -1ix + 1ix + -1i2 + -7x + -7x + x2) = y

Combine like terms: -1ix + 1ix = 0
(49 + 0 + -1i2 + -7x + -7x + x2) = y
(49 + -1i2 + -7x + -7x + x2) = y

Combine like terms: -7x + -7x = -14x
(49 + -1i2 + -14x + x2) = y

Solving
49 + -1i2 + -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 + -1i2 + -14x + -49 + x2 = -49 + y

Reorder the terms:
49 + -49 + -1i2 + -14x + x2 = -49 + y

Combine like terms: 49 + -49 = 0
0 + -1i2 + -14x + x2 = -49 + y
-1i2 + -14x + x2 = -49 + y

Add '14x' to each side of the equation.
-1i2 + -14x + 14x + x2 = -49 + 14x + y

Combine like terms: -14x + 14x = 0
-1i2 + 0 + x2 = -49 + 14x + y
-1i2 + x2 = -49 + 14x + y

Add '-1x2' to each side of the equation.
-1i2 + x2 + -1x2 = -49 + 14x + -1x2 + y

Combine like terms: x2 + -1x2 = 0
-1i2 + 0 = -49 + 14x + -1x2 + y
-1i2 = -49 + 14x + -1x2 + y

Divide each side by '-1'.
i2 = 49 + -14x + x2 + -1y

Simplifying
i2 = 49 + -14x + x2 + -1y

Reorder the terms:
-49 + i2 + 14x + -1x2 + y = 49 + -14x + x2 + -1y + -49 + 14x + -1x2 + y

Reorder the terms:
-49 + i2 + 14x + -1x2 + y = 49 + -49 + -14x + 14x + x2 + -1x2 + -1y + y

Combine like terms: 49 + -49 = 0
-49 + i2 + 14x + -1x2 + y = 0 + -14x + 14x + x2 + -1x2 + -1y + y
-49 + i2 + 14x + -1x2 + y = -14x + 14x + x2 + -1x2 + -1y + y

Combine like terms: -14x + 14x = 0
-49 + i2 + 14x + -1x2 + y = 0 + x2 + -1x2 + -1y + y
-49 + i2 + 14x + -1x2 + y = x2 + -1x2 + -1y + y

Combine like terms: x2 + -1x2 = 0
-49 + i2 + 14x + -1x2 + y = 0 + -1y + y
-49 + i2 + 14x + -1x2 + y = -1y + y

Combine like terms: -1y + y = 0
-49 + i2 + 14x + -1x2 + y = 0

The solution to this equation could not be determined.

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