Question

(24x^4+24x^3=3x^2)divided 8x^3

Answer 1

24x^4+24x^3=3x^2 Divide with 3x^2

8x^2+8x=1

8x^2+8x-1=0

If you don't know how to solve this equation in google type:
quadratic equation online

When you see list of results click on:
Free Online Quadratioc Equation Solver:Solve by Quadratic Formula

When page be open in rectangle type:
8x^2+8x-1=0

and click option: solve it

You will see solution step by step.

By the way equation 24x^4+24x^3=3x^2
has 3 rot.
First obviously x=0 and 2 roots of quadratic equation
8x^2+8x-1=0