(1+i)z^2+(1+9i)z-8-6i=0

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Solution for (1+i)z^2+(1+9i)z-8-6i=0 equation: 


Simplifying
(1 + i) * z2 + (1 + 9i) * z + -8 + -6i = 0

Reorder the terms for easier multiplication:
z2(1 + i) + (1 + 9i) * z + -8 + -6i = 0
(1 * z2 + i * z2) + (1 + 9i) * z + -8 + -6i = 0

Reorder the terms:
(iz2 + 1z2) + (1 + 9i) * z + -8 + -6i = 0
(iz2 + 1z2) + (1 + 9i) * z + -8 + -6i = 0

Reorder the terms for easier multiplication:
iz2 + 1z2 + z(1 + 9i) + -8 + -6i = 0
iz2 + 1z2 + (1 * z + 9i * z) + -8 + -6i = 0

Reorder the terms:
iz2 + 1z2 + (9iz + 1z) + -8 + -6i = 0
iz2 + 1z2 + (9iz + 1z) + -8 + -6i = 0

Reorder the terms:
-8 + -6i + 9iz + iz2 + 1z + 1z2 = 0

Solving
-8 + -6i + 9iz + iz2 + 1z + 1z2 = 0

Solving for variable 'i'.

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

Add '8' to each side of the equation.
-8 + -6i + 9iz + iz2 + 1z + 8 + 1z2 = 0 + 8

Reorder the terms:
-8 + 8 + -6i + 9iz + iz2 + 1z + 1z2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -6i + 9iz + iz2 + 1z + 1z2 = 0 + 8
-6i + 9iz + iz2 + 1z + 1z2 = 0 + 8

Combine like terms: 0 + 8 = 8
-6i + 9iz + iz2 + 1z + 1z2 = 8

Add '-1z' to each side of the equation.
-6i + 9iz + iz2 + 1z + -1z + 1z2 = 8 + -1z

Combine like terms: 1z + -1z = 0
-6i + 9iz + iz2 + 0 + 1z2 = 8 + -1z
-6i + 9iz + iz2 + 1z2 = 8 + -1z

Add '-1z2' to each side of the equation.
-6i + 9iz + iz2 + 1z2 + -1z2 = 8 + -1z + -1z2

Combine like terms: 1z2 + -1z2 = 0
-6i + 9iz + iz2 + 0 = 8 + -1z + -1z2
-6i + 9iz + iz2 = 8 + -1z + -1z2

Reorder the terms:
-8 + -6i + 9iz + iz2 + z + z2 = 8 + -1z + -1z2 + -8 + z + z2

Reorder the terms:
-8 + -6i + 9iz + iz2 + z + z2 = 8 + -8 + -1z + z + -1z2 + z2

Combine like terms: 8 + -8 = 0
-8 + -6i + 9iz + iz2 + z + z2 = 0 + -1z + z + -1z2 + z2
-8 + -6i + 9iz + iz2 + z + z2 = -1z + z + -1z2 + z2

Combine like terms: -1z + z = 0
-8 + -6i + 9iz + iz2 + z + z2 = 0 + -1z2 + z2
-8 + -6i + 9iz + iz2 + z + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
-8 + -6i + 9iz + iz2 + z + z2 = 0

The solution to this equation could not be determined.

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