z^2+(2+6i)z-7-6i=0

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Solution for z^2+(2+6i)z-7-6i=0 equation: 


Simplifying
z2 + (2 + 6i) * z + -7 + -6i = 0

Reorder the terms for easier multiplication:
z2 + z(2 + 6i) + -7 + -6i = 0
z2 + (2 * z + 6i * z) + -7 + -6i = 0

Reorder the terms:
z2 + (6iz + 2z) + -7 + -6i = 0
z2 + (6iz + 2z) + -7 + -6i = 0

Reorder the terms:
-7 + -6i + 6iz + 2z + z2 = 0

Solving
-7 + -6i + 6iz + 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 + -6i + 6iz + 2z + 7 + z2 = 0 + 7

Reorder the terms:
-7 + 7 + -6i + 6iz + 2z + z2 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -6i + 6iz + 2z + z2 = 0 + 7
-6i + 6iz + 2z + z2 = 0 + 7

Combine like terms: 0 + 7 = 7
-6i + 6iz + 2z + z2 = 7

Add '-2z' to each side of the equation.
-6i + 6iz + 2z + -2z + z2 = 7 + -2z

Combine like terms: 2z + -2z = 0
-6i + 6iz + 0 + z2 = 7 + -2z
-6i + 6iz + z2 = 7 + -2z

Add '-1z2' to each side of the equation.
-6i + 6iz + z2 + -1z2 = 7 + -2z + -1z2

Combine like terms: z2 + -1z2 = 0
-6i + 6iz + 0 = 7 + -2z + -1z2
-6i + 6iz = 7 + -2z + -1z2

Reorder the terms:
-7 + -6i + 6iz + 2z + z2 = 7 + -2z + -1z2 + -7 + 2z + z2

Reorder the terms:
-7 + -6i + 6iz + 2z + z2 = 7 + -7 + -2z + 2z + -1z2 + z2

Combine like terms: 7 + -7 = 0
-7 + -6i + 6iz + 2z + z2 = 0 + -2z + 2z + -1z2 + z2
-7 + -6i + 6iz + 2z + z2 = -2z + 2z + -1z2 + z2

Combine like terms: -2z + 2z = 0
-7 + -6i + 6iz + 2z + z2 = 0 + -1z2 + z2
-7 + -6i + 6iz + 2z + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
-7 + -6i + 6iz + 2z + z2 = 0

The solution to this equation could not be determined.

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