z^4-(7+i)z+24+7i=0

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Solution for z^4-(7+i)z+24+7i=0 equation: 


Simplifying
z4 + -1(7 + i) * z + 24 + 7i = 0

Reorder the terms for easier multiplication:
z4 + -1z(7 + i) + 24 + 7i = 0
z4 + (7 * -1z + i * -1z) + 24 + 7i = 0

Reorder the terms:
z4 + (-1iz + -7z) + 24 + 7i = 0
z4 + (-1iz + -7z) + 24 + 7i = 0

Reorder the terms:
24 + 7i + -1iz + -7z + z4 = 0

Solving
24 + 7i + -1iz + -7z + z4 = 0

Solving for variable 'i'.

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

Add '-24' to each side of the equation.
24 + 7i + -1iz + -7z + -24 + z4 = 0 + -24

Reorder the terms:
24 + -24 + 7i + -1iz + -7z + z4 = 0 + -24

Combine like terms: 24 + -24 = 0
0 + 7i + -1iz + -7z + z4 = 0 + -24
7i + -1iz + -7z + z4 = 0 + -24

Combine like terms: 0 + -24 = -24
7i + -1iz + -7z + z4 = -24

Add '7z' to each side of the equation.
7i + -1iz + -7z + 7z + z4 = -24 + 7z

Combine like terms: -7z + 7z = 0
7i + -1iz + 0 + z4 = -24 + 7z
7i + -1iz + z4 = -24 + 7z

Add '-1z4' to each side of the equation.
7i + -1iz + z4 + -1z4 = -24 + 7z + -1z4

Combine like terms: z4 + -1z4 = 0
7i + -1iz + 0 = -24 + 7z + -1z4
7i + -1iz = -24 + 7z + -1z4

Reorder the terms:
24 + 7i + -1iz + -7z + z4 = -24 + 7z + -1z4 + 24 + -7z + z4

Reorder the terms:
24 + 7i + -1iz + -7z + z4 = -24 + 24 + 7z + -7z + -1z4 + z4

Combine like terms: -24 + 24 = 0
24 + 7i + -1iz + -7z + z4 = 0 + 7z + -7z + -1z4 + z4
24 + 7i + -1iz + -7z + z4 = 7z + -7z + -1z4 + z4

Combine like terms: 7z + -7z = 0
24 + 7i + -1iz + -7z + z4 = 0 + -1z4 + z4
24 + 7i + -1iz + -7z + z4 = -1z4 + z4

Combine like terms: -1z4 + z4 = 0
24 + 7i + -1iz + -7z + z4 = 0

The solution to this equation could not be determined.

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