(2+i)z^2+(1-7i)z-5=0

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Solution for (2+i)z^2+(1-7i)z-5=0 equation: 


Simplifying
(2 + i) * z2 + (1 + -7i) * z + -5 = 0

Reorder the terms for easier multiplication:
z2(2 + i) + (1 + -7i) * z + -5 = 0
(2 * z2 + i * z2) + (1 + -7i) * z + -5 = 0

Reorder the terms:
(iz2 + 2z2) + (1 + -7i) * z + -5 = 0
(iz2 + 2z2) + (1 + -7i) * z + -5 = 0

Reorder the terms for easier multiplication:
iz2 + 2z2 + z(1 + -7i) + -5 = 0
iz2 + 2z2 + (1 * z + -7i * z) + -5 = 0

Reorder the terms:
iz2 + 2z2 + (-7iz + 1z) + -5 = 0
iz2 + 2z2 + (-7iz + 1z) + -5 = 0

Reorder the terms:
-5 + -7iz + iz2 + 1z + 2z2 = 0

Solving
-5 + -7iz + iz2 + 1z + 2z2 = 0

Solving for variable 'i'.

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

Add '5' to each side of the equation.
-5 + -7iz + iz2 + 1z + 5 + 2z2 = 0 + 5

Reorder the terms:
-5 + 5 + -7iz + iz2 + 1z + 2z2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -7iz + iz2 + 1z + 2z2 = 0 + 5
-7iz + iz2 + 1z + 2z2 = 0 + 5

Combine like terms: 0 + 5 = 5
-7iz + iz2 + 1z + 2z2 = 5

Add '-1z' to each side of the equation.
-7iz + iz2 + 1z + -1z + 2z2 = 5 + -1z

Combine like terms: 1z + -1z = 0
-7iz + iz2 + 0 + 2z2 = 5 + -1z
-7iz + iz2 + 2z2 = 5 + -1z

Add '-2z2' to each side of the equation.
-7iz + iz2 + 2z2 + -2z2 = 5 + -1z + -2z2

Combine like terms: 2z2 + -2z2 = 0
-7iz + iz2 + 0 = 5 + -1z + -2z2
-7iz + iz2 = 5 + -1z + -2z2

Reorder the terms:
-5 + -7iz + iz2 + z + 2z2 = 5 + -1z + -2z2 + -5 + z + 2z2

Reorder the terms:
-5 + -7iz + iz2 + z + 2z2 = 5 + -5 + -1z + z + -2z2 + 2z2

Combine like terms: 5 + -5 = 0
-5 + -7iz + iz2 + z + 2z2 = 0 + -1z + z + -2z2 + 2z2
-5 + -7iz + iz2 + z + 2z2 = -1z + z + -2z2 + 2z2

Combine like terms: -1z + z = 0
-5 + -7iz + iz2 + z + 2z2 = 0 + -2z2 + 2z2
-5 + -7iz + iz2 + z + 2z2 = -2z2 + 2z2

Combine like terms: -2z2 + 2z2 = 0
-5 + -7iz + iz2 + z + 2z2 = 0

The solution to this equation could not be determined.

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