Looks easy but it Isn't

Algebra Level 5

[x]2x=4|[x] - 2x|=4

Number of values of xx which satisfies the above equations is aa.

Then find the value of product of values of xx and aa

Example:- if values of xx are 2,4,6,8,9( 5 values) Then write the answer as 2×4×6×8×9×5=172802\times 4 \times 6 \times 8 \times 9 \times 5 = 17280

Details and Assumption

  • [x][x] represent greatest integer function
  • x|x| represent modulus of xx
  • Values of xx need not necessarily be Positive Integers.
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