Question

Help Please!

2n(x-n)=x-5n+2
Solve for X

Answer 1

2n(x-n) = x - 5n + 2.
2nx-2n^2 = x - 5n + 2
-2n^2 + 2nx - x + 5n = 2
-x = 2n^2 - 2nx - 5n + 2
2nx-x = 2n^2-5n + 2
Factor both sides:
x(2n-1) = (n-2)(2n-1).
Divide both sides by 2n-1:
X = n-2.

n-2 = 0
n = 2.

2n-1 = 0
n = 0.5

When n = 2, X = 0.
When n = 0.5 X = -1.5.

OR
(n,x)
(2,0)
(0.5,-1.5).