0.25z^2+(5i-1)z+(-10i-23)=0

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Solution for 0.25z^2+(5i-1)z+(-10i-23)=0 equation: 


Simplifying
0.25z2 + (5i + -1) * z + (-10i + -23) = 0

Reorder the terms:
0.25z2 + (-1 + 5i) * z + (-10i + -23) = 0

Reorder the terms for easier multiplication:
0.25z2 + z(-1 + 5i) + (-10i + -23) = 0
0.25z2 + (-1 * z + 5i * z) + (-10i + -23) = 0

Reorder the terms:
0.25z2 + (5iz + -1z) + (-10i + -23) = 0
0.25z2 + (5iz + -1z) + (-10i + -23) = 0

Reorder the terms:
0.25z2 + 5iz + -1z + (-23 + -10i) = 0

Remove parenthesis around (-23 + -10i)
0.25z2 + 5iz + -1z + -23 + -10i = 0

Reorder the terms:
-23 + -10i + 5iz + -1z + 0.25z2 = 0

Solving
-23 + -10i + 5iz + -1z + 0.25z2 = 0

Solving for variable 'i'.

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

Add '23' to each side of the equation.
-23 + -10i + 5iz + -1z + 23 + 0.25z2 = 0 + 23

Reorder the terms:
-23 + 23 + -10i + 5iz + -1z + 0.25z2 = 0 + 23

Combine like terms: -23 + 23 = 0
0 + -10i + 5iz + -1z + 0.25z2 = 0 + 23
-10i + 5iz + -1z + 0.25z2 = 0 + 23

Combine like terms: 0 + 23 = 23
-10i + 5iz + -1z + 0.25z2 = 23

Add 'z' to each side of the equation.
-10i + 5iz + -1z + z + 0.25z2 = 23 + z

Combine like terms: -1z + z = 0
-10i + 5iz + 0 + 0.25z2 = 23 + z
-10i + 5iz + 0.25z2 = 23 + z

Add '-0.25z2' to each side of the equation.
-10i + 5iz + 0.25z2 + -0.25z2 = 23 + z + -0.25z2

Combine like terms: 0.25z2 + -0.25z2 = 0.00
-10i + 5iz + 0.00 = 23 + z + -0.25z2
-10i + 5iz = 23 + z + -0.25z2

Reorder the terms:
-23 + -10i + 5iz + -1z + 0.25z2 = 23 + z + -0.25z2 + -23 + -1z + 0.25z2

Reorder the terms:
-23 + -10i + 5iz + -1z + 0.25z2 = 23 + -23 + z + -1z + -0.25z2 + 0.25z2

Combine like terms: 23 + -23 = 0
-23 + -10i + 5iz + -1z + 0.25z2 = 0 + z + -1z + -0.25z2 + 0.25z2
-23 + -10i + 5iz + -1z + 0.25z2 = z + -1z + -0.25z2 + 0.25z2

Combine like terms: z + -1z = 0
-23 + -10i + 5iz + -1z + 0.25z2 = 0 + -0.25z2 + 0.25z2
-23 + -10i + 5iz + -1z + 0.25z2 = -0.25z2 + 0.25z2

Combine like terms: -0.25z2 + 0.25z2 = 0.00
-23 + -10i + 5iz + -1z + 0.25z2 = 0.00

The solution to this equation could not be determined.

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