(x-6-4i)(x-6+4i)=

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Solution for (x-6-4i)(x-6+4i)= equation: 


Simplifying
(x + -6 + -4i)(x + -6 + 4i) = 0

Reorder the terms:
(-6 + -4i + x)(x + -6 + 4i) = 0

Reorder the terms:
(-6 + -4i + x)(-6 + 4i + x) = 0

Multiply (-6 + -4i + x) * (-6 + 4i + x)
(-6(-6 + 4i + x) + -4i * (-6 + 4i + x) + x(-6 + 4i + x)) = 0
((-6 * -6 + 4i * -6 + x * -6) + -4i * (-6 + 4i + x) + x(-6 + 4i + x)) = 0
((36 + -24i + -6x) + -4i * (-6 + 4i + x) + x(-6 + 4i + x)) = 0
(36 + -24i + -6x + (-6 * -4i + 4i * -4i + x * -4i) + x(-6 + 4i + x)) = 0

Reorder the terms:
(36 + -24i + -6x + (24i + -4ix + -16i2) + x(-6 + 4i + x)) = 0
(36 + -24i + -6x + (24i + -4ix + -16i2) + x(-6 + 4i + x)) = 0
(36 + -24i + -6x + 24i + -4ix + -16i2 + (-6 * x + 4i * x + x * x)) = 0

Reorder the terms:
(36 + -24i + -6x + 24i + -4ix + -16i2 + (4ix + -6x + x2)) = 0
(36 + -24i + -6x + 24i + -4ix + -16i2 + (4ix + -6x + x2)) = 0

Reorder the terms:
(36 + -24i + 24i + -4ix + 4ix + -16i2 + -6x + -6x + x2) = 0

Combine like terms: -24i + 24i = 0
(36 + 0 + -4ix + 4ix + -16i2 + -6x + -6x + x2) = 0
(36 + -4ix + 4ix + -16i2 + -6x + -6x + x2) = 0

Combine like terms: -4ix + 4ix = 0
(36 + 0 + -16i2 + -6x + -6x + x2) = 0
(36 + -16i2 + -6x + -6x + x2) = 0

Combine like terms: -6x + -6x = -12x
(36 + -16i2 + -12x + x2) = 0

Solving
36 + -16i2 + -12x + x2 = 0

Solving for variable 'i'.

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

Add '-36' to each side of the equation.
36 + -16i2 + -12x + -36 + x2 = 0 + -36

Reorder the terms:
36 + -36 + -16i2 + -12x + x2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -16i2 + -12x + x2 = 0 + -36
-16i2 + -12x + x2 = 0 + -36

Combine like terms: 0 + -36 = -36
-16i2 + -12x + x2 = -36

Add '12x' to each side of the equation.
-16i2 + -12x + 12x + x2 = -36 + 12x

Combine like terms: -12x + 12x = 0
-16i2 + 0 + x2 = -36 + 12x
-16i2 + x2 = -36 + 12x

Add '-1x2' to each side of the equation.
-16i2 + x2 + -1x2 = -36 + 12x + -1x2

Combine like terms: x2 + -1x2 = 0
-16i2 + 0 = -36 + 12x + -1x2
-16i2 = -36 + 12x + -1x2

Divide each side by '-16'.
i2 = 2.25 + -0.75x + 0.0625x2

Simplifying
i2 = 2.25 + -0.75x + 0.0625x2

Reorder the terms:
-2.25 + i2 + 0.75x + -0.0625x2 = 2.25 + -0.75x + 0.0625x2 + -2.25 + 0.75x + -0.0625x2

Reorder the terms:
-2.25 + i2 + 0.75x + -0.0625x2 = 2.25 + -2.25 + -0.75x + 0.75x + 0.0625x2 + -0.0625x2

Combine like terms: 2.25 + -2.25 = 0.00
-2.25 + i2 + 0.75x + -0.0625x2 = 0.00 + -0.75x + 0.75x + 0.0625x2 + -0.0625x2
-2.25 + i2 + 0.75x + -0.0625x2 = -0.75x + 0.75x + 0.0625x2 + -0.0625x2

Combine like terms: -0.75x + 0.75x = 0.00
-2.25 + i2 + 0.75x + -0.0625x2 = 0.00 + 0.0625x2 + -0.0625x2
-2.25 + i2 + 0.75x + -0.0625x2 = 0.0625x2 + -0.0625x2

Combine like terms: 0.0625x2 + -0.0625x2 = 0.0000
-2.25 + i2 + 0.75x + -0.0625x2 = 0.0000

The solution to this equation could not be determined.

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