That doesn't factor neatly. Applying the quadratic formula, we find two real solutions: (1 plus or minus the square root of 29) divided by 2
x = 3.192582403567252
x = -2.192582403567252
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That doesn't factor neatly. Applying the quadratic formula, we find two real solutions: (7 plus or minus the square root of 17) divided by 2.
x = 5.561552812808831
x = 1.4384471871911697
That doesn't factor neatly. Applying the quadratic formula, we find two imaginary solutions: 1 plus or minus i times the square root of 6.
x = 1 + 2.449489742783178i
x = 1 - 2.449489742783178i
where i is the square root of negative 1.
Add 1 to both sides.
7x2 - 8x + 1 = 0 factors to (x - 1)(7x - 1)
x = 1, 1/7
Check it.
7 - 8 + 1 = 0
7/49 - 56/49 + 49/49 = 0
It checks.
That depends on what you want to do with them.
-7 x 8 x -1 = 56
-7 + 8 + -1 = 0
-7 - 8 - -1 = -14
There are other possibilities.
Multiply both sides by 7.
-35 = -19 - x
Add 19 to both sides.
-16 = -x
Multiply both sides by -1.
x = 16
(3x - 4)(x - 1)
2/7x = 8x = 8 x 7/2x = 28
(5x - 3)(x + 8)
(x + 5)(x + 8)
(x + 4)(x + 8)