You will laugh, once you see the solution

Algebra Level 3

Find the number of solutions of the equation :

$8\lfloor x^2-x\rfloor +4\lfloor x\rfloor = 13 + 12\lfloor\sin x\rfloor$

where $$\displaystyle \lfloor .\rfloor$$ represents the Greatest Integer Function

Note: This problem appeared in our AITS (All India Test Series) -7

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