If you mean
2x2 + 3x = (3x - 1)2 - x2
Then you can solve it this way:
Expand:
2x2 + 3x = 9x2 - 6x + 1 - x2
Group like terms:
2x2 + 3x = 8x2 - 6x + 1
6x2 - 9x - 1 = 0
Complete the square:
6x2 - 9x = 1
x2 - 3x/2 = 1/6
x2 - 3x/2 + 9/16 = 1/6 + 9/16
(x - 3/4)2 = 8/48 + 27/48
(x - 3/4)2 = 35/48
Solve for x:
x - 3/4 = ± √(35/48)
x - 3/4 = ± √(35/3) / 4
x = 3/4 ± √(35/3) / 4
x = [3 ± √(35/3)] / 4
If you mean something else, then you'll need to be clearer with your question.
2
All the time
Factor it. (x - 8)(x - 2) x = 2, 8
(3y - 5)(y + 5)
(x + 3)(3x - 2)
2
All the time
There are no rational factors.
There is no rational factorisation.
Factor it. (x - 8)(x - 2) x = 2, 8
2222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222
(b-c)(a+b)-ac
(a - 2)(a^2 + 6)
(x + 3)(3x - 2)
(3y - 5)(y + 5)
(7a - 1)(6a + 1)
(3r - 2)(3r - 2) or (3r - 2) squared.