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well there are two types...no solution or empty set(slashed 0) or in algebra two extraneous solutions...problems that seem to have answers but if you check they don't.
its easier to give an example of the no solution:
-2x-3=-2x+6
+2 +2
__________
-3 does not = 6
so there is no solution
remember all variables have to cancel out and the integer cant equal each other for this to occur. if either everything including the integers canceled out or both sides equal the same then it is all real numbers.
hope this helps :)
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