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

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


Simplifying
z2 + -1(2 + -1i) * z + 7 + -1i = 0

Reorder the terms for easier multiplication:
z2 + -1z(2 + -1i) + 7 + -1i = 0
z2 + (2 * -1z + -1i * -1z) + 7 + -1i = 0

Reorder the terms:
z2 + (1iz + -2z) + 7 + -1i = 0
z2 + (1iz + -2z) + 7 + -1i = 0

Reorder the terms:
7 + -1i + 1iz + -2z + z2 = 0

Solving
7 + -1i + 1iz + -2z + z2 = 0

Solving for variable 'i'.

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

Add '-7' to each side of the equation.
7 + -1i + 1iz + -2z + -7 + z2 = 0 + -7

Reorder the terms:
7 + -7 + -1i + 1iz + -2z + z2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1i + 1iz + -2z + z2 = 0 + -7
-1i + 1iz + -2z + z2 = 0 + -7

Combine like terms: 0 + -7 = -7
-1i + 1iz + -2z + z2 = -7

Add '2z' to each side of the equation.
-1i + 1iz + -2z + 2z + z2 = -7 + 2z

Combine like terms: -2z + 2z = 0
-1i + 1iz + 0 + z2 = -7 + 2z
-1i + 1iz + z2 = -7 + 2z

Add '-1z2' to each side of the equation.
-1i + 1iz + z2 + -1z2 = -7 + 2z + -1z2

Combine like terms: z2 + -1z2 = 0
-1i + 1iz + 0 = -7 + 2z + -1z2
-1i + 1iz = -7 + 2z + -1z2

Reorder the terms:
7 + -1i + 1iz + -2z + z2 = -7 + 2z + -1z2 + 7 + -2z + z2

Reorder the terms:
7 + -1i + 1iz + -2z + z2 = -7 + 7 + 2z + -2z + -1z2 + z2

Combine like terms: -7 + 7 = 0
7 + -1i + 1iz + -2z + z2 = 0 + 2z + -2z + -1z2 + z2
7 + -1i + 1iz + -2z + z2 = 2z + -2z + -1z2 + z2

Combine like terms: 2z + -2z = 0
7 + -1i + 1iz + -2z + z2 = 0 + -1z2 + z2
7 + -1i + 1iz + -2z + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
7 + -1i + 1iz + -2z + z2 = 0

The solution to this equation could not be determined.

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