You can put this solution on YOUR website! x~4-6x~2+5=0
The only factors of 5 that can add up to -6 are -5&-1.
Therefore the factors are (x~2-5)(x~2-1). The second term may be also be factored into (x+1)(x-1) which gives the following (x~2-5)(x+1)(x-1).