Z^2+5*z*i-7+i=0

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Solution for Z^2+5*z*i-7+i=0 equation:


Simplifying
Z2 + 5z * i + -7 + i = 0

Multiply z * i
Z2 + 5iz + -7 + i = 0

Reorder the terms:
-7 + Z2 + i + 5iz = 0

Solving
-7 + Z2 + i + 5iz = 0

Solving for variable 'Z'.

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

Add '7' to each side of the equation.
-7 + Z2 + i + 7 + 5iz = 0 + 7

Reorder the terms:
-7 + 7 + Z2 + i + 5iz = 0 + 7

Combine like terms: -7 + 7 = 0
0 + Z2 + i + 5iz = 0 + 7
Z2 + i + 5iz = 0 + 7

Combine like terms: 0 + 7 = 7
Z2 + i + 5iz = 7

Add '-1i' to each side of the equation.
Z2 + i + -1i + 5iz = 7 + -1i

Combine like terms: i + -1i = 0
Z2 + 0 + 5iz = 7 + -1i
Z2 + 5iz = 7 + -1i

Add '-5iz' to each side of the equation.
Z2 + 5iz + -5iz = 7 + -1i + -5iz

Combine like terms: 5iz + -5iz = 0
Z2 + 0 = 7 + -1i + -5iz
Z2 = 7 + -1i + -5iz

Simplifying
Z2 = 7 + -1i + -5iz

Reorder the terms:
-7 + Z2 + i + 5iz = 7 + -1i + -5iz + -7 + i + 5iz

Reorder the terms:
-7 + Z2 + i + 5iz = 7 + -7 + -1i + i + -5iz + 5iz

Combine like terms: 7 + -7 = 0
-7 + Z2 + i + 5iz = 0 + -1i + i + -5iz + 5iz
-7 + Z2 + i + 5iz = -1i + i + -5iz + 5iz

Combine like terms: -1i + i = 0
-7 + Z2 + i + 5iz = 0 + -5iz + 5iz
-7 + Z2 + i + 5iz = -5iz + 5iz

Combine like terms: -5iz + 5iz = 0
-7 + Z2 + i + 5iz = 0

The solution to this equation could not be determined.

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