Performing the indicated multiplication on the left side gives you:
8x-24=8x-24,
8x=8x
1=1
These expressions are true for any real value of x and thus has infinitely many solutions...
2. x =(6+√20)/-8=3/-4-1/4√ 5 = -1.309
7^5. Found by trial and error.
Not really sure whats up with that inequality but she can't, if she has to spend 1.5 hours in a lab that leaves her with 5 hours. 5/4 is 1.25, so no, she can only spend 1.25 hours with each student.