# 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