It’s not the best but i tried, i don’t get it but i hope it helped
1 - Subtraction property of equality
2 - simplify
3 - addition property of equality
4 - simplify?
5 - division property of equality
6 - distributive property
In can be less mental effort if the equation is multiplied by -1 first.
.. x^2 -10x +8 = 0
.. x^2 -10x +25 +8 -25 = 0
.. (x -5)^2 = 17
.. x -5 = ±√17
.. x = 5 ±√17
The values of x that satisfy the given equation are
.. x = 5 -√17 ≈ 0.877
.. x = 5 +√17 ≈ 9.123
Xy
-5.510
-4.58
-3.56
-2.54
-1.52