(x-7+2i)(x-7-2i)=0

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Solution for (x-7+2i)(x-7-2i)=0 equation: 


Simplifying
(x + -7 + 2i)(x + -7 + -2i) = 0

Reorder the terms:
(-7 + 2i + x)(x + -7 + -2i) = 0

Reorder the terms:
(-7 + 2i + x)(-7 + -2i + x) = 0

Multiply (-7 + 2i + x) * (-7 + -2i + x)
(-7(-7 + -2i + x) + 2i * (-7 + -2i + x) + x(-7 + -2i + x)) = 0
((-7 * -7 + -2i * -7 + x * -7) + 2i * (-7 + -2i + x) + x(-7 + -2i + x)) = 0
((49 + 14i + -7x) + 2i * (-7 + -2i + x) + x(-7 + -2i + x)) = 0
(49 + 14i + -7x + (-7 * 2i + -2i * 2i + x * 2i) + x(-7 + -2i + x)) = 0

Reorder the terms:
(49 + 14i + -7x + (-14i + 2ix + -4i2) + x(-7 + -2i + x)) = 0
(49 + 14i + -7x + (-14i + 2ix + -4i2) + x(-7 + -2i + x)) = 0
(49 + 14i + -7x + -14i + 2ix + -4i2 + (-7 * x + -2i * x + x * x)) = 0

Reorder the terms:
(49 + 14i + -7x + -14i + 2ix + -4i2 + (-2ix + -7x + x2)) = 0
(49 + 14i + -7x + -14i + 2ix + -4i2 + (-2ix + -7x + x2)) = 0

Reorder the terms:
(49 + 14i + -14i + 2ix + -2ix + -4i2 + -7x + -7x + x2) = 0

Combine like terms: 14i + -14i = 0
(49 + 0 + 2ix + -2ix + -4i2 + -7x + -7x + x2) = 0
(49 + 2ix + -2ix + -4i2 + -7x + -7x + x2) = 0

Combine like terms: 2ix + -2ix = 0
(49 + 0 + -4i2 + -7x + -7x + x2) = 0
(49 + -4i2 + -7x + -7x + x2) = 0

Combine like terms: -7x + -7x = -14x
(49 + -4i2 + -14x + x2) = 0

Solving
49 + -4i2 + -14x + x2 = 0

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 + -4i2 + -14x + -49 + x2 = 0 + -49

Reorder the terms:
49 + -49 + -4i2 + -14x + x2 = 0 + -49

Combine like terms: 49 + -49 = 0
0 + -4i2 + -14x + x2 = 0 + -49
-4i2 + -14x + x2 = 0 + -49

Combine like terms: 0 + -49 = -49
-4i2 + -14x + x2 = -49

Add '14x' to each side of the equation.
-4i2 + -14x + 14x + x2 = -49 + 14x

Combine like terms: -14x + 14x = 0
-4i2 + 0 + x2 = -49 + 14x
-4i2 + x2 = -49 + 14x

Add '-1x2' to each side of the equation.
-4i2 + x2 + -1x2 = -49 + 14x + -1x2

Combine like terms: x2 + -1x2 = 0
-4i2 + 0 = -49 + 14x + -1x2
-4i2 = -49 + 14x + -1x2

Divide each side by '-4'.
i2 = 12.25 + -3.5x + 0.25x2

Simplifying
i2 = 12.25 + -3.5x + 0.25x2

Reorder the terms:
-12.25 + i2 + 3.5x + -0.25x2 = 12.25 + -3.5x + 0.25x2 + -12.25 + 3.5x + -0.25x2

Reorder the terms:
-12.25 + i2 + 3.5x + -0.25x2 = 12.25 + -12.25 + -3.5x + 3.5x + 0.25x2 + -0.25x2

Combine like terms: 12.25 + -12.25 = 0.00
-12.25 + i2 + 3.5x + -0.25x2 = 0.00 + -3.5x + 3.5x + 0.25x2 + -0.25x2
-12.25 + i2 + 3.5x + -0.25x2 = -3.5x + 3.5x + 0.25x2 + -0.25x2

Combine like terms: -3.5x + 3.5x = 0.0
-12.25 + i2 + 3.5x + -0.25x2 = 0.0 + 0.25x2 + -0.25x2
-12.25 + i2 + 3.5x + -0.25x2 = 0.25x2 + -0.25x2

Combine like terms: 0.25x2 + -0.25x2 = 0.00
-12.25 + i2 + 3.5x + -0.25x2 = 0.00

The solution to this equation could not be determined.

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