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

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


Simplifying
0 = [x + -1(6 + -4i)][x + -1(6 + 4i)]
0 = [x + (6 * -1 + -4i * -1)][x + -1(6 + 4i)]
0 = [x + (-6 + 4i)][x + -1(6 + 4i)]

Reorder the terms:
0 = [-6 + 4i + x][x + -1(6 + 4i)]
0 = [-6 + 4i + x][x + (6 * -1 + 4i * -1)]
0 = [-6 + 4i + x][x + (-6 + -4i)]

Reorder the terms:
0 = [-6 + 4i + x][-6 + -4i + x]

Multiply [-6 + 4i + x] * [-6 + -4i + x]
0 = [-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]]

Reorder the terms:
0 = [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]]

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

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

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

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

Combine like terms: -6x + -6x = -12x
0 = [36 + -16i2 + -12x + x2]

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

Solving for variable 'i'.

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

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

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

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

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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