What do you want us to say? Yes, x= 0 is definitely NOT a root to that equation ( ). Either the book is wrong or you have mistaken what it is saying.
Use linear interpolation to find the root(s) of the equation correct to 3 decimal places.
I drew the graph of the functions on the two sides.
I concluded that the roots are between -0.5 and -1, and 0.5 and 1.
And found them to 3 d.p. to be -0.896 and 0.826.
My problem is that the answer given is 0. Which definitely cannot be the roots of the equations.