First of all, I tried to search online but I didn't find any explanation.
The following equations, I just don't know how I could solve'em, the question asks for the solutions.
$(x²-4)*(2x-2)*x=0$
$x^4-x^3-x^2+x=0$
I don't think I ever saw equations like this on high school, should I apply baskara? It looks like a quartic equation but all the quartic equations I searched for contains a constant after the "$x$". Can you help me, please?
Please pardon me for the noob (I think) question, I'm sure it will look simple after you explain it but I really couldn't find a way to solve it yet.
Best Answer
For the first one, if the product of three factors is 0 then at least one of these is 0; so you have to solve three (easy) equations.
For the second one, write it as $x(x^3−x^2−x+1)=0$ and note that the sum in parentheses is 0 when $x=1$, so you may factor $x^3−x^2−x+1 = (x-1)(x^2+Ax+1)$. Find the value of $A$ and solve the 2nd degree equation