what is the difference between ( and [ in context to solving algebric equation?

I can think of two mathematical meanings:

1. Algebra
First, in the old days (pre-computer age), ( and [ are both used as brackets to impart priority of operations. The mixed use with equal importance makes interpretation easier. For example,

[12*(4+5)]2 is more visually apparent than
(12*(4+5))2

2. Intervals
The interval notation is used to denote on the number line ranges of real or integers. the [ or ] imply inclusion of the lower or upper limit respectively, while ( and ) indicate exclusion. The ISO standard uses the opposite bracket, namely ] and [ to denote exclusion.
For example:
[4,8] means 4<=x<=8
while
(5,10) or ]5,10[ mean 5<x<10

Follow link for more information:
http://en.wikipedia.org/wiki/Interval_(mathematics)

See