Can someone please tell me if I did the first one right?

solve the inequality algebraically
10x-8x≥-3x^2
3x² + 10x - 8
3x² - 2x + 12x - 8 = 0
x (3x - 2) + 4 (3x - 2) = 0
The solution set is?
(3x - 2) (x + 4)

70x-5170/x

are the other finite end points of the interval included in the solution set
solution set if any

Question

Can someone please tell me if I did the first one right?

solve the inequality algebraically
10x-8x≥-3x^2
3x² + 10x - 8 
 3x² - 2x + 12x - 8 = 0 
x (3x - 2) + 4 (3x - 2) = 0
 The solution set is?
(3x - 2) (x + 4)

70x-51>70/x

are the other finite end points of the interval included in the solution set
solution set if any

kira_yamato · Answer

10x-8x≥-3x^2 => 3x^2+10x-8x≥0 (factor LHS)

kira_yamato · Answer

As for the 2nd question, x=0 cannot be part of solution because it will give an undefined answer if it was the case

anonymous · Answer

Okay Thank you so much  is the LHS the solution set I am looking for ?

kira_yamato · Answer

Yes. Btw 1st question x=0 is part of the solution