2z^2+2(4-2i)z-16i=0

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Solution for 2z^2+2(4-2i)z-16i=0 equation: 


Simplifying
2z2 + 2(4 + -2i) * z + -16i = 0

Reorder the terms for easier multiplication:
2z2 + 2z(4 + -2i) + -16i = 0
2z2 + (4 * 2z + -2i * 2z) + -16i = 0

Reorder the terms:
2z2 + (-4iz + 8z) + -16i = 0
2z2 + (-4iz + 8z) + -16i = 0

Reorder the terms:
-16i + -4iz + 8z + 2z2 = 0

Solving
-16i + -4iz + 8z + 2z2 = 0

Solving for variable 'i'.

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

Add '-8z' to each side of the equation.
-16i + -4iz + 8z + -8z + 2z2 = 0 + -8z

Combine like terms: 8z + -8z = 0
-16i + -4iz + 0 + 2z2 = 0 + -8z
-16i + -4iz + 2z2 = 0 + -8z
Remove the zero:
-16i + -4iz + 2z2 = -8z

Add '-2z2' to each side of the equation.
-16i + -4iz + 2z2 + -2z2 = -8z + -2z2

Combine like terms: 2z2 + -2z2 = 0
-16i + -4iz + 0 = -8z + -2z2
-16i + -4iz = -8z + -2z2

Reorder the terms:
-16i + -4iz + 8z + 2z2 = -8z + 8z + -2z2 + 2z2

Combine like terms: -8z + 8z = 0
-16i + -4iz + 8z + 2z2 = 0 + -2z2 + 2z2
-16i + -4iz + 8z + 2z2 = -2z2 + 2z2

Combine like terms: -2z2 + 2z2 = 0
-16i + -4iz + 8z + 2z2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-8i + -2iz + 4z + z2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-8i + -2iz + 4z + z2)' equal to zero and attempt to solve:

Simplifying
-8i + -2iz + 4z + z2 = 0

Solving
-8i + -2iz + 4z + z2 = 0

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

Add '-4z' to each side of the equation.
-8i + -2iz + 4z + -4z + z2 = 0 + -4z

Combine like terms: 4z + -4z = 0
-8i + -2iz + 0 + z2 = 0 + -4z
-8i + -2iz + z2 = 0 + -4z
Remove the zero:
-8i + -2iz + z2 = -4z

Add '-1z2' to each side of the equation.
-8i + -2iz + z2 + -1z2 = -4z + -1z2

Combine like terms: z2 + -1z2 = 0
-8i + -2iz + 0 = -4z + -1z2
-8i + -2iz = -4z + -1z2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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