Question

1100-[ (512-144:a)×2]-171=1

Answer 1

1100-(1024- $\frac{288}{a}$ -171=1
1100-1024+ $\frac{288}{a}$ - 171 = 1
-95+ $\frac{288}{a}$ = 1
$\frac{288}{a}$ = 96
96a=288
a = 288:96
a = 3

Answer 2

1100-[ (512-144:a)×2]-171=1
1100-[ (512-144:a)×2] = 1 + 171 
1100-[ (512-144:a)×2] = 172
 (512-144:a)×2=1100 - 172
 (512-144:a)×2 = 928 
512-144:a= 928:2
512 - 144:a = 464
144:a= 512 - 464
144:a = 48 
a = 144 : 48 
a = 3