The book I'm working though has just showed how to find the intersection points of functions containing moduli by graphing them, visually spotting the intersection points, and then solving algebraically. I've done the exercises and am happy with that. Now it's showing another method to solve without graph sketching. I've taken a picture of the text:
The first exercise is asking to solve the equation $|x^2 - 1| - 1 = 3x - 2$, so I start by adding 1 to both sides, squaring, and simplifying to get $x^4 - 11x^2 + 6x = 0$. I now have no idea what to do! Can someone give he any hints on how to approach this please?