x*x-(5-i)x+(18+i)=0

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Solution for x*x-(5-i)x+(18+i)=0 equation:


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

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

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

Reorder the terms:
x2 + (1ix + -5x) + (18 + i) = 0
x2 + (1ix + -5x) + (18 + i) = 0

Remove parenthesis around (18 + i)
x2 + 1ix + -5x + 18 + i = 0

Reorder the terms:
18 + i + 1ix + -5x + x2 = 0

Solving
18 + i + 1ix + -5x + x2 = 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 + 1ix + -5x + -18 + x2 = 0 + -18

Reorder the terms:
18 + -18 + i + 1ix + -5x + x2 = 0 + -18

Combine like terms: 18 + -18 = 0
0 + i + 1ix + -5x + x2 = 0 + -18
i + 1ix + -5x + x2 = 0 + -18

Combine like terms: 0 + -18 = -18
i + 1ix + -5x + x2 = -18

Add '5x' to each side of the equation.
i + 1ix + -5x + 5x + x2 = -18 + 5x

Combine like terms: -5x + 5x = 0
i + 1ix + 0 + x2 = -18 + 5x
i + 1ix + x2 = -18 + 5x

Add '-1x2' to each side of the equation.
i + 1ix + x2 + -1x2 = -18 + 5x + -1x2

Combine like terms: x2 + -1x2 = 0
i + 1ix + 0 = -18 + 5x + -1x2
i + 1ix = -18 + 5x + -1x2

Reorder the terms:
18 + i + 1ix + -5x + x2 = -18 + 5x + -1x2 + 18 + -5x + x2

Reorder the terms:
18 + i + 1ix + -5x + x2 = -18 + 18 + 5x + -5x + -1x2 + x2

Combine like terms: -18 + 18 = 0
18 + i + 1ix + -5x + x2 = 0 + 5x + -5x + -1x2 + x2
18 + i + 1ix + -5x + x2 = 5x + -5x + -1x2 + x2

Combine like terms: 5x + -5x = 0
18 + i + 1ix + -5x + x2 = 0 + -1x2 + x2
18 + i + 1ix + -5x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
18 + i + 1ix + -5x + x2 = 0

The solution to this equation could not be determined.

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