(1+i)z^2+(4-2i)z-7i-9=0

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Solution for (1+i)z^2+(4-2i)z-7i-9=0 equation:


Simplifying
(1 + i) * z2 + (4 + -2i) * z + -7i + -9 = 0

Reorder the terms for easier multiplication:
z2(1 + i) + (4 + -2i) * z + -7i + -9 = 0
(1 * z2 + i * z2) + (4 + -2i) * z + -7i + -9 = 0

Reorder the terms:
(iz2 + 1z2) + (4 + -2i) * z + -7i + -9 = 0
(iz2 + 1z2) + (4 + -2i) * z + -7i + -9 = 0

Reorder the terms for easier multiplication:
iz2 + 1z2 + z(4 + -2i) + -7i + -9 = 0
iz2 + 1z2 + (4 * z + -2i * z) + -7i + -9 = 0

Reorder the terms:
iz2 + 1z2 + (-2iz + 4z) + -7i + -9 = 0
iz2 + 1z2 + (-2iz + 4z) + -7i + -9 = 0

Reorder the terms:
-9 + -7i + -2iz + iz2 + 4z + 1z2 = 0

Solving
-9 + -7i + -2iz + iz2 + 4z + 1z2 = 0

Solving for variable 'i'.

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

Add '9' to each side of the equation.
-9 + -7i + -2iz + iz2 + 4z + 9 + 1z2 = 0 + 9

Reorder the terms:
-9 + 9 + -7i + -2iz + iz2 + 4z + 1z2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -7i + -2iz + iz2 + 4z + 1z2 = 0 + 9
-7i + -2iz + iz2 + 4z + 1z2 = 0 + 9

Combine like terms: 0 + 9 = 9
-7i + -2iz + iz2 + 4z + 1z2 = 9

Add '-4z' to each side of the equation.
-7i + -2iz + iz2 + 4z + -4z + 1z2 = 9 + -4z

Combine like terms: 4z + -4z = 0
-7i + -2iz + iz2 + 0 + 1z2 = 9 + -4z
-7i + -2iz + iz2 + 1z2 = 9 + -4z

Add '-1z2' to each side of the equation.
-7i + -2iz + iz2 + 1z2 + -1z2 = 9 + -4z + -1z2

Combine like terms: 1z2 + -1z2 = 0
-7i + -2iz + iz2 + 0 = 9 + -4z + -1z2
-7i + -2iz + iz2 = 9 + -4z + -1z2

Reorder the terms:
-9 + -7i + -2iz + iz2 + 4z + z2 = 9 + -4z + -1z2 + -9 + 4z + z2

Reorder the terms:
-9 + -7i + -2iz + iz2 + 4z + z2 = 9 + -9 + -4z + 4z + -1z2 + z2

Combine like terms: 9 + -9 = 0
-9 + -7i + -2iz + iz2 + 4z + z2 = 0 + -4z + 4z + -1z2 + z2
-9 + -7i + -2iz + iz2 + 4z + z2 = -4z + 4z + -1z2 + z2

Combine like terms: -4z + 4z = 0
-9 + -7i + -2iz + iz2 + 4z + z2 = 0 + -1z2 + z2
-9 + -7i + -2iz + iz2 + 4z + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
-9 + -7i + -2iz + iz2 + 4z + z2 = 0

The solution to this equation could not be determined.

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