6x^2-(18+5i)x+18+i=0

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Solution for 6x^2-(18+5i)x+18+i=0 equation: 


Simplifying
6x2 + -1(18 + 5i) * x + 18 + i = 0

Reorder the terms for easier multiplication:
6x2 + -1x(18 + 5i) + 18 + i = 0
6x2 + (18 * -1x + 5i * -1x) + 18 + i = 0

Reorder the terms:
6x2 + (-5ix + -18x) + 18 + i = 0
6x2 + (-5ix + -18x) + 18 + i = 0

Reorder the terms:
18 + i + -5ix + -18x + 6x2 = 0

Solving
18 + i + -5ix + -18x + 6x2 = 0

Solving for variable 'i'.

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

Add '-18' to each side of the equation.
18 + i + -5ix + -18x + -18 + 6x2 = 0 + -18

Reorder the terms:
18 + -18 + i + -5ix + -18x + 6x2 = 0 + -18

Combine like terms: 18 + -18 = 0
0 + i + -5ix + -18x + 6x2 = 0 + -18
i + -5ix + -18x + 6x2 = 0 + -18

Combine like terms: 0 + -18 = -18
i + -5ix + -18x + 6x2 = -18

Add '18x' to each side of the equation.
i + -5ix + -18x + 18x + 6x2 = -18 + 18x

Combine like terms: -18x + 18x = 0
i + -5ix + 0 + 6x2 = -18 + 18x
i + -5ix + 6x2 = -18 + 18x

Add '-6x2' to each side of the equation.
i + -5ix + 6x2 + -6x2 = -18 + 18x + -6x2

Combine like terms: 6x2 + -6x2 = 0
i + -5ix + 0 = -18 + 18x + -6x2
i + -5ix = -18 + 18x + -6x2

Reorder the terms:
18 + i + -5ix + -18x + 6x2 = -18 + 18x + -6x2 + 18 + -18x + 6x2

Reorder the terms:
18 + i + -5ix + -18x + 6x2 = -18 + 18 + 18x + -18x + -6x2 + 6x2

Combine like terms: -18 + 18 = 0
18 + i + -5ix + -18x + 6x2 = 0 + 18x + -18x + -6x2 + 6x2
18 + i + -5ix + -18x + 6x2 = 18x + -18x + -6x2 + 6x2

Combine like terms: 18x + -18x = 0
18 + i + -5ix + -18x + 6x2 = 0 + -6x2 + 6x2
18 + i + -5ix + -18x + 6x2 = -6x2 + 6x2

Combine like terms: -6x2 + 6x2 = 0
18 + i + -5ix + -18x + 6x2 = 0

The solution to this equation could not be determined.

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