iz^2+(3-4i)z=0

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Solution for iz^2+(3-4i)z=0 equation: 


Simplifying
iz2 + (3 + -4i) * z = 0

Reorder the terms for easier multiplication:
iz2 + z(3 + -4i) = 0
iz2 + (3 * z + -4i * z) = 0

Reorder the terms:
iz2 + (-4iz + 3z) = 0
iz2 + (-4iz + 3z) = 0

Reorder the terms:
-4iz + iz2 + 3z = 0

Solving
-4iz + iz2 + 3z = 0

Solving for variable 'i'.

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

Add '-3z' to each side of the equation.
-4iz + iz2 + 3z + -3z = 0 + -3z

Combine like terms: 3z + -3z = 0
-4iz + iz2 + 0 = 0 + -3z
-4iz + iz2 = 0 + -3z
Remove the zero:
-4iz + iz2 = -3z

Combine like terms: -3z + 3z = 0
-4iz + iz2 + 3z = 0

Factor out the Greatest Common Factor (GCF), 'z'.
z(-4i + iz + 3) = 0


Subproblem 1
Set the factor 'z' equal to zero and attempt to solve:

Simplifying
z = 0

Solving
z = 0

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

Add '-1z' to each side of the equation.
z + -1z = 0 + -1z
Remove the zero:
0 = -1z

Simplifying
0 = -1z

The solution to this equation could not be determined.

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

Subproblem 2
Set the factor '(-4i + iz + 3)' equal to zero and attempt to solve:

Simplifying
-4i + iz + 3 = 0

Reorder the terms:
3 + -4i + iz = 0

Solving
3 + -4i + iz = 0

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

Add '-3' to each side of the equation.
3 + -4i + -3 + iz = 0 + -3

Reorder the terms:
3 + -3 + -4i + iz = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4i + iz = 0 + -3
-4i + iz = 0 + -3

Combine like terms: 0 + -3 = -3
-4i + iz = -3

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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