solvex^2+(2i-3)x+5-i=0

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Solution for solvex^2+(2i-3)x+5-i=0 equation: 


Simplifying
solvex2 + (2i + -3) * x + 5 + -1i = 0

Reorder the terms:
elosvx2 + (-3 + 2i) * x + 5 + -1i = 0

Reorder the terms for easier multiplication:
elosvx2 + x(-3 + 2i) + 5 + -1i = 0
elosvx2 + (-3 * x + 2i * x) + 5 + -1i = 0

Reorder the terms:
elosvx2 + (2ix + -3x) + 5 + -1i = 0
elosvx2 + (2ix + -3x) + 5 + -1i = 0

Reorder the terms:
5 + elosvx2 + -1i + 2ix + -3x = 0

Solving
5 + elosvx2 + -1i + 2ix + -3x = 0

Solving for variable 'e'.

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

Add '-5' to each side of the equation.
5 + elosvx2 + -1i + 2ix + -5 + -3x = 0 + -5

Reorder the terms:
5 + -5 + elosvx2 + -1i + 2ix + -3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + elosvx2 + -1i + 2ix + -3x = 0 + -5
elosvx2 + -1i + 2ix + -3x = 0 + -5

Combine like terms: 0 + -5 = -5
elosvx2 + -1i + 2ix + -3x = -5

Add 'i' to each side of the equation.
elosvx2 + -1i + 2ix + i + -3x = -5 + i

Reorder the terms:
elosvx2 + -1i + i + 2ix + -3x = -5 + i

Combine like terms: -1i + i = 0
elosvx2 + 0 + 2ix + -3x = -5 + i
elosvx2 + 2ix + -3x = -5 + i

Add '-2ix' to each side of the equation.
elosvx2 + 2ix + -2ix + -3x = -5 + i + -2ix

Combine like terms: 2ix + -2ix = 0
elosvx2 + 0 + -3x = -5 + i + -2ix
elosvx2 + -3x = -5 + i + -2ix

Add '3x' to each side of the equation.
elosvx2 + -3x + 3x = -5 + i + -2ix + 3x

Combine like terms: -3x + 3x = 0
elosvx2 + 0 = -5 + i + -2ix + 3x
elosvx2 = -5 + i + -2ix + 3x

Divide each side by 'losvx2'.
e = -5l-1o-1s-1v-1x-2 + il-1o-1s-1v-1x-2 + -2il-1o-1s-1v-1x-1 + 3l-1o-1s-1v-1x-1

Simplifying
e = -5l-1o-1s-1v-1x-2 + il-1o-1s-1v-1x-2 + -2il-1o-1s-1v-1x-1 + 3l-1o-1s-1v-1x-1

Reorder the terms:
e = il-1o-1s-1v-1x-2 + -2il-1o-1s-1v-1x-1 + -5l-1o-1s-1v-1x-2 + 3l-1o-1s-1v-1x-1

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