To solve an equation by finding x-intercepts, Cynthia graphed the function y=x^3-5x+|2x-3| Give several possibilities for the original equation.

How do I do it and what's the answer?
Thanks

(x^3-5x)= - abs(2x-3)

or
x(x^2-5)= 2x-3 if x<3/2
x(x^2-5)=3-2x if x>3/2
x(x-5)(x+5)=2x-3 if x<3/2 or
x(x-5)(x+5)=3-2x if x>3/2