(z^3)-2i(z^2)-(2((2i+1)z))-20-(8i)=0

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Solution for (z^3)-2i(z^2)-(2((2i+1)z))-20-(8i)=0 equation: 


Simplifying
(z3) + -2i(z2) + -1(2((2i + 1) * z)) + -20 + -1(8i) = 0
z3 + -2i(z2) + -1(2((2i + 1) * z)) + -20 + -1(8i) = 0

Multiply i * z2
z3 + -2iz2 + -1(2((2i + 1) * z)) + -20 + -1(8i) = 0

Reorder the terms:
z3 + -2iz2 + -1(2((1 + 2i) * z)) + -20 + -1(8i) = 0

Reorder the terms for easier multiplication:
z3 + -2iz2 + -1(2(z(1 + 2i))) + -20 + -1(8i) = 0
z3 + -2iz2 + -1(2((1 * z + 2i * z))) + -20 + -1(8i) = 0

Reorder the terms:
z3 + -2iz2 + -1(2((2iz + 1z))) + -20 + -1(8i) = 0
z3 + -2iz2 + -1(2((2iz + 1z))) + -20 + -1(8i) = 0
z3 + -2iz2 + -1((2iz * 2 + 1z * 2)) + -20 + -1(8i) = 0
z3 + -2iz2 + -1((4iz + 2z)) + -20 + -1(8i) = 0
z3 + -2iz2 + (4iz * -1 + 2z * -1) + -20 + -1(8i) = 0
z3 + -2iz2 + (-4iz + -2z) + -20 + -1(8i) = 0

Remove parenthesis around (8i)
z3 + -2iz2 + -4iz + -2z + -20 + -1 * 8i = 0

Multiply -1 * 8
z3 + -2iz2 + -4iz + -2z + -20 + -8i = 0

Reorder the terms:
-20 + -8i + -4iz + -2iz2 + -2z + z3 = 0

Solving
-20 + -8i + -4iz + -2iz2 + -2z + z3 = 0

Solving for variable 'i'.

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

Add '20' to each side of the equation.
-20 + -8i + -4iz + -2iz2 + -2z + 20 + z3 = 0 + 20

Reorder the terms:
-20 + 20 + -8i + -4iz + -2iz2 + -2z + z3 = 0 + 20

Combine like terms: -20 + 20 = 0
0 + -8i + -4iz + -2iz2 + -2z + z3 = 0 + 20
-8i + -4iz + -2iz2 + -2z + z3 = 0 + 20

Combine like terms: 0 + 20 = 20
-8i + -4iz + -2iz2 + -2z + z3 = 20

Add '2z' to each side of the equation.
-8i + -4iz + -2iz2 + -2z + 2z + z3 = 20 + 2z

Combine like terms: -2z + 2z = 0
-8i + -4iz + -2iz2 + 0 + z3 = 20 + 2z
-8i + -4iz + -2iz2 + z3 = 20 + 2z

Add '-1z3' to each side of the equation.
-8i + -4iz + -2iz2 + z3 + -1z3 = 20 + 2z + -1z3

Combine like terms: z3 + -1z3 = 0
-8i + -4iz + -2iz2 + 0 = 20 + 2z + -1z3
-8i + -4iz + -2iz2 = 20 + 2z + -1z3

Reorder the terms:
-20 + -8i + -4iz + -2iz2 + -2z + z3 = 20 + 2z + -1z3 + -20 + -2z + z3

Reorder the terms:
-20 + -8i + -4iz + -2iz2 + -2z + z3 = 20 + -20 + 2z + -2z + -1z3 + z3

Combine like terms: 20 + -20 = 0
-20 + -8i + -4iz + -2iz2 + -2z + z3 = 0 + 2z + -2z + -1z3 + z3
-20 + -8i + -4iz + -2iz2 + -2z + z3 = 2z + -2z + -1z3 + z3

Combine like terms: 2z + -2z = 0
-20 + -8i + -4iz + -2iz2 + -2z + z3 = 0 + -1z3 + z3
-20 + -8i + -4iz + -2iz2 + -2z + z3 = -1z3 + z3

Combine like terms: -1z3 + z3 = 0
-20 + -8i + -4iz + -2iz2 + -2z + z3 = 0

The solution to this equation could not be determined.

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