solve the equation (2n-4)90/n=360/n

(2n-4)90=360
2n-4=4
2n=8
Therefore,
n=4
Thanks.

Easy! First just multiply by n on both sides.

90(2n - 4) = 360

Divide both sides by 90

2n - 4 = 4
2n = 8
n = 4

Since we had n in denominators, check that we didn't form a division by 0, but we are OK.

2n - 4 = n/90 * 360/n
2n - 4 = 4
2n = 8
n = 4

90(2n - 4) = 360
2n - 4 = 4
2n = 8
n = 4

(2n-4)90/n=360/n
(2n-4)90*n/90n=360*n/90n [multiplying by n/90 on both sides]
(2n-4)=4
2n=4+4
2n=8
n=8/2
n=4

2n - 4 = 4
n = 4

90(2n - 4)/n = 360/n
90(2n - 4) = 360
2n - 4 = 360/90
2n - 4 = 4
2n = 4 + 4
2n = 8
n = 8/2
n = 4

the equality gives you this:
(180n-360)/n=360/n ; now we have to keep in mind that n=0 isn't a suitable solution
moving on we have 180n^2-360n=360n which is 180n^2-720n=0
this is equivalent to 180n (n-4)=0 which has the subsystemss 180n=0 and n-4=0 that finally gives you the solutions n=0 and n=4;
because n=0 is not in the domain range, the final answer is 4

well its simple n= 4