solve(2+i)x^2-(5-i)x+2-2i=0

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


Simplifying
solve(2 + i) * x2 + -1(5 + -1i) * x + 2 + -2i = 0

Reorder the terms for easier multiplication:
elosv * x2(2 + i) + -1(5 + -1i) * x + 2 + -2i = 0

Multiply elosv * x2
elosvx2(2 + i) + -1(5 + -1i) * x + 2 + -2i = 0
(2 * elosvx2 + i * elosvx2) + -1(5 + -1i) * x + 2 + -2i = 0

Reorder the terms:
(eilosvx2 + 2elosvx2) + -1(5 + -1i) * x + 2 + -2i = 0
(eilosvx2 + 2elosvx2) + -1(5 + -1i) * x + 2 + -2i = 0

Reorder the terms for easier multiplication:
eilosvx2 + 2elosvx2 + -1x(5 + -1i) + 2 + -2i = 0
eilosvx2 + 2elosvx2 + (5 * -1x + -1i * -1x) + 2 + -2i = 0

Reorder the terms:
eilosvx2 + 2elosvx2 + (1ix + -5x) + 2 + -2i = 0
eilosvx2 + 2elosvx2 + (1ix + -5x) + 2 + -2i = 0

Reorder the terms:
2 + eilosvx2 + 2elosvx2 + -2i + 1ix + -5x = 0

Solving
2 + eilosvx2 + 2elosvx2 + -2i + 1ix + -5x = 0

Solving for variable 'e'.

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

Add '-2' to each side of the equation.
2 + eilosvx2 + 2elosvx2 + -2i + 1ix + -2 + -5x = 0 + -2

Reorder the terms:
2 + -2 + eilosvx2 + 2elosvx2 + -2i + 1ix + -5x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + eilosvx2 + 2elosvx2 + -2i + 1ix + -5x = 0 + -2
eilosvx2 + 2elosvx2 + -2i + 1ix + -5x = 0 + -2

Combine like terms: 0 + -2 = -2
eilosvx2 + 2elosvx2 + -2i + 1ix + -5x = -2

Add '2i' to each side of the equation.
eilosvx2 + 2elosvx2 + -2i + 1ix + 2i + -5x = -2 + 2i

Reorder the terms:
eilosvx2 + 2elosvx2 + -2i + 2i + 1ix + -5x = -2 + 2i

Combine like terms: -2i + 2i = 0
eilosvx2 + 2elosvx2 + 0 + 1ix + -5x = -2 + 2i
eilosvx2 + 2elosvx2 + 1ix + -5x = -2 + 2i

Add '-1ix' to each side of the equation.
eilosvx2 + 2elosvx2 + 1ix + -1ix + -5x = -2 + 2i + -1ix

Combine like terms: 1ix + -1ix = 0
eilosvx2 + 2elosvx2 + 0 + -5x = -2 + 2i + -1ix
eilosvx2 + 2elosvx2 + -5x = -2 + 2i + -1ix

Add '5x' to each side of the equation.
eilosvx2 + 2elosvx2 + -5x + 5x = -2 + 2i + -1ix + 5x

Combine like terms: -5x + 5x = 0
eilosvx2 + 2elosvx2 + 0 = -2 + 2i + -1ix + 5x
eilosvx2 + 2elosvx2 = -2 + 2i + -1ix + 5x

Reorder the terms:
2 + eilosvx2 + 2elosvx2 + -2i + ix + -5x = -2 + 2i + -1ix + 5x + 2 + -2i + ix + -5x

Reorder the terms:
2 + eilosvx2 + 2elosvx2 + -2i + ix + -5x = -2 + 2 + 2i + -2i + -1ix + ix + 5x + -5x

Combine like terms: -2 + 2 = 0
2 + eilosvx2 + 2elosvx2 + -2i + ix + -5x = 0 + 2i + -2i + -1ix + ix + 5x + -5x
2 + eilosvx2 + 2elosvx2 + -2i + ix + -5x = 2i + -2i + -1ix + ix + 5x + -5x

Combine like terms: 2i + -2i = 0
2 + eilosvx2 + 2elosvx2 + -2i + ix + -5x = 0 + -1ix + ix + 5x + -5x
2 + eilosvx2 + 2elosvx2 + -2i + ix + -5x = -1ix + ix + 5x + -5x

Combine like terms: -1ix + ix = 0
2 + eilosvx2 + 2elosvx2 + -2i + ix + -5x = 0 + 5x + -5x
2 + eilosvx2 + 2elosvx2 + -2i + ix + -5x = 5x + -5x

Combine like terms: 5x + -5x = 0
2 + eilosvx2 + 2elosvx2 + -2i + ix + -5x = 0

The solution to this equation could not be determined.

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