z^2+5iz+10-4i=0

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Solution for z^2+5iz+10-4i=0 equation:


Simplifying
z2 + 5iz + 10 + -4i = 0

Reorder the terms:
10 + -4i + 5iz + z2 = 0

Solving
10 + -4i + 5iz + z2 = 0

Solving for variable 'i'.

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

Add '-10' to each side of the equation.
10 + -4i + 5iz + -10 + z2 = 0 + -10

Reorder the terms:
10 + -10 + -4i + 5iz + z2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -4i + 5iz + z2 = 0 + -10
-4i + 5iz + z2 = 0 + -10

Combine like terms: 0 + -10 = -10
-4i + 5iz + z2 = -10

Add '-1z2' to each side of the equation.
-4i + 5iz + z2 + -1z2 = -10 + -1z2

Combine like terms: z2 + -1z2 = 0
-4i + 5iz + 0 = -10 + -1z2
-4i + 5iz = -10 + -1z2

Reorder the terms:
10 + -4i + 5iz + z2 = -10 + -1z2 + 10 + z2

Reorder the terms:
10 + -4i + 5iz + z2 = -10 + 10 + -1z2 + z2

Combine like terms: -10 + 10 = 0
10 + -4i + 5iz + z2 = 0 + -1z2 + z2
10 + -4i + 5iz + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
10 + -4i + 5iz + z2 = 0

The solution to this equation could not be determined.

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