There's no solution to [ 2x2 - 13x - 20 ], because it's not an equation, it doesn't make
any statement, and it doesn't ask any question.
If you said that it's equal to something, then we'd have to find what value of 'x' makes
it a true statement. But right now, it's not even a statement. It's just an expression.
It stands for a number, the number depends on the value of 'x', and it changes every
time 'x' changes.
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Yes, empty set means null which is no solution.
An empty set is a set with no elements. It can be symbolized by {} or ø. The solution set for an equation that has no solution is also called an empty set.
A set would not normally have a solution. An equation or an inequality might.
Unsolvable equations have no solutions so the solution set would be [ ]. (empty set)
9x + 2x + 26 is an expression, not an equation (or inequality). It therefore cannot have a solution so that its solution set is the null set. There is nothing in the solution set - no integers, rationals, irrationals: nothing!