x^4+(2-i)=0

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Solution for x^4+(2-i)=0 equation:


Simplifying
x4 + (2 + -1i) = 0

Remove parenthesis around (2 + -1i)
x4 + 2 + -1i = 0

Reorder the terms:
2 + -1i + x4 = 0

Solving
2 + -1i + x4 = 0

Solving for variable 'i'.

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

Add '-2' to each side of the equation.
2 + -1i + -2 + x4 = 0 + -2

Reorder the terms:
2 + -2 + -1i + x4 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1i + x4 = 0 + -2
-1i + x4 = 0 + -2

Combine like terms: 0 + -2 = -2
-1i + x4 = -2

Add '-1x4' to each side of the equation.
-1i + x4 + -1x4 = -2 + -1x4

Combine like terms: x4 + -1x4 = 0
-1i + 0 = -2 + -1x4
-1i = -2 + -1x4

Divide each side by '-1'.
i = 2 + x4

Simplifying
i = 2 + x4

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