Answer:
n=12 n=5/2
Step-by-step explanation:
(12n + 6)n = 180 (n - 2)
Distribute
12n^2 +6n = 180n -360
Subtract 180 n from each side
12n^2 +6n - 180n = 180n-180n -360
12n^2 -174n = -360
Add 360 to each side
12n^2 -174n+360 =360 -360
12n^2 -174n+360 =0
Divide by 6
12/6n^2 -174/6n+360/6 =0
2n^2 -29n +60 =0/6
2n^2 -29n +60 =0
Factor
(n - 12) (2 n - 5) = 0
Using the zero product property
n-12 =0 2n-5=0
n=12 2n=5
n=5/2
