z^2-(7+i)z+(24+7i)=0

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Solution for z^2-(7+i)z+(24+7i)=0 equation: 


Simplifying
z2 + -1(7 + i) * z + (24 + 7i) = 0

Reorder the terms for easier multiplication:
z2 + -1z(7 + i) + (24 + 7i) = 0
z2 + (7 * -1z + i * -1z) + (24 + 7i) = 0

Reorder the terms:
z2 + (-1iz + -7z) + (24 + 7i) = 0
z2 + (-1iz + -7z) + (24 + 7i) = 0

Remove parenthesis around (24 + 7i)
z2 + -1iz + -7z + 24 + 7i = 0

Reorder the terms:
24 + 7i + -1iz + -7z + z2 = 0

Solving
24 + 7i + -1iz + -7z + z2 = 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 + z2 = 0 + -24

Reorder the terms:
24 + -24 + 7i + -1iz + -7z + z2 = 0 + -24

Combine like terms: 24 + -24 = 0
0 + 7i + -1iz + -7z + z2 = 0 + -24
7i + -1iz + -7z + z2 = 0 + -24

Combine like terms: 0 + -24 = -24
7i + -1iz + -7z + z2 = -24

Add '7z' to each side of the equation.
7i + -1iz + -7z + 7z + z2 = -24 + 7z

Combine like terms: -7z + 7z = 0
7i + -1iz + 0 + z2 = -24 + 7z
7i + -1iz + z2 = -24 + 7z

Add '-1z2' to each side of the equation.
7i + -1iz + z2 + -1z2 = -24 + 7z + -1z2

Combine like terms: z2 + -1z2 = 0
7i + -1iz + 0 = -24 + 7z + -1z2
7i + -1iz = -24 + 7z + -1z2

Reorder the terms:
24 + 7i + -1iz + -7z + z2 = -24 + 7z + -1z2 + 24 + -7z + z2

Reorder the terms:
24 + 7i + -1iz + -7z + z2 = -24 + 24 + 7z + -7z + -1z2 + z2

Combine like terms: -24 + 24 = 0
24 + 7i + -1iz + -7z + z2 = 0 + 7z + -7z + -1z2 + z2
24 + 7i + -1iz + -7z + z2 = 7z + -7z + -1z2 + z2

Combine like terms: 7z + -7z = 0
24 + 7i + -1iz + -7z + z2 = 0 + -1z2 + z2
24 + 7i + -1iz + -7z + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
24 + 7i + -1iz + -7z + z2 = 0

The solution to this equation could not be determined.

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