5z^2+(9-7i)z+2-6i=0

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Solution for 5z^2+(9-7i)z+2-6i=0 equation: 


Simplifying
5z2 + (9 + -7i) * z + 2 + -6i = 0

Reorder the terms for easier multiplication:
5z2 + z(9 + -7i) + 2 + -6i = 0
5z2 + (9 * z + -7i * z) + 2 + -6i = 0

Reorder the terms:
5z2 + (-7iz + 9z) + 2 + -6i = 0
5z2 + (-7iz + 9z) + 2 + -6i = 0

Reorder the terms:
2 + -6i + -7iz + 9z + 5z2 = 0

Solving
2 + -6i + -7iz + 9z + 5z2 = 0

Solving for variable 'i'.

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

Add '-2' to each side of the equation.
2 + -6i + -7iz + 9z + -2 + 5z2 = 0 + -2

Reorder the terms:
2 + -2 + -6i + -7iz + 9z + 5z2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -6i + -7iz + 9z + 5z2 = 0 + -2
-6i + -7iz + 9z + 5z2 = 0 + -2

Combine like terms: 0 + -2 = -2
-6i + -7iz + 9z + 5z2 = -2

Add '-9z' to each side of the equation.
-6i + -7iz + 9z + -9z + 5z2 = -2 + -9z

Combine like terms: 9z + -9z = 0
-6i + -7iz + 0 + 5z2 = -2 + -9z
-6i + -7iz + 5z2 = -2 + -9z

Add '-5z2' to each side of the equation.
-6i + -7iz + 5z2 + -5z2 = -2 + -9z + -5z2

Combine like terms: 5z2 + -5z2 = 0
-6i + -7iz + 0 = -2 + -9z + -5z2
-6i + -7iz = -2 + -9z + -5z2

Reorder the terms:
2 + -6i + -7iz + 9z + 5z2 = -2 + -9z + -5z2 + 2 + 9z + 5z2

Reorder the terms:
2 + -6i + -7iz + 9z + 5z2 = -2 + 2 + -9z + 9z + -5z2 + 5z2

Combine like terms: -2 + 2 = 0
2 + -6i + -7iz + 9z + 5z2 = 0 + -9z + 9z + -5z2 + 5z2
2 + -6i + -7iz + 9z + 5z2 = -9z + 9z + -5z2 + 5z2

Combine like terms: -9z + 9z = 0
2 + -6i + -7iz + 9z + 5z2 = 0 + -5z2 + 5z2
2 + -6i + -7iz + 9z + 5z2 = -5z2 + 5z2

Combine like terms: -5z2 + 5z2 = 0
2 + -6i + -7iz + 9z + 5z2 = 0

The solution to this equation could not be determined.

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