x^2-6ix-8=0

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Solution for x^2-6ix-8=0 equation:


Simplifying
x2 + -6ix + -8 = 0

Reorder the terms:
-8 + -6ix + x2 = 0

Solving
-8 + -6ix + x2 = 0

Solving for variable 'i'.

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

Add '8' to each side of the equation.
-8 + -6ix + 8 + x2 = 0 + 8

Reorder the terms:
-8 + 8 + -6ix + x2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -6ix + x2 = 0 + 8
-6ix + x2 = 0 + 8

Combine like terms: 0 + 8 = 8
-6ix + x2 = 8

Add '-1x2' to each side of the equation.
-6ix + x2 + -1x2 = 8 + -1x2

Combine like terms: x2 + -1x2 = 0
-6ix + 0 = 8 + -1x2
-6ix = 8 + -1x2

Divide each side by '-6x'.
i = -1.333333333x-1 + 0.1666666667x

Simplifying
i = -1.333333333x-1 + 0.1666666667x

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