-z^2-2iz-6i-4=0

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Solution for -z^2-2iz-6i-4=0 equation:


Simplifying
-1z2 + -2iz + -6i + -4 = 0

Reorder the terms:
-4 + -6i + -2iz + -1z2 = 0

Solving
-4 + -6i + -2iz + -1z2 = 0

Solving for variable 'i'.

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

Add '4' to each side of the equation.
-4 + -6i + -2iz + 4 + -1z2 = 0 + 4

Reorder the terms:
-4 + 4 + -6i + -2iz + -1z2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -6i + -2iz + -1z2 = 0 + 4
-6i + -2iz + -1z2 = 0 + 4

Combine like terms: 0 + 4 = 4
-6i + -2iz + -1z2 = 4

Add 'z2' to each side of the equation.
-6i + -2iz + -1z2 + z2 = 4 + z2

Combine like terms: -1z2 + z2 = 0
-6i + -2iz + 0 = 4 + z2
-6i + -2iz = 4 + z2

Reorder the terms:
-4 + -6i + -2iz + -1z2 = 4 + z2 + -4 + -1z2

Reorder the terms:
-4 + -6i + -2iz + -1z2 = 4 + -4 + z2 + -1z2

Combine like terms: 4 + -4 = 0
-4 + -6i + -2iz + -1z2 = 0 + z2 + -1z2
-4 + -6i + -2iz + -1z2 = z2 + -1z2

Combine like terms: z2 + -1z2 = 0
-4 + -6i + -2iz + -1z2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(4 + 6i + 2iz + z2) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(4 + 6i + 2iz + z2)' equal to zero and attempt to solve: Simplifying 4 + 6i + 2iz + z2 = 0 Solving 4 + 6i + 2iz + z2 = 0 Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 6i + 2iz + -4 + z2 = 0 + -4 Reorder the terms: 4 + -4 + 6i + 2iz + z2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 6i + 2iz + z2 = 0 + -4 6i + 2iz + z2 = 0 + -4 Combine like terms: 0 + -4 = -4 6i + 2iz + z2 = -4 Add '-1z2' to each side of the equation. 6i + 2iz + z2 + -1z2 = -4 + -1z2 Combine like terms: z2 + -1z2 = 0 6i + 2iz + 0 = -4 + -1z2 6i + 2iz = -4 + -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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