SOLUTION: x cubed-5x=0 i tried to factor it out- x(x squared -5) but i dont know how I could get that to equal 0.

Question 481249: x cubed-5x=0
i tried to factor it out- x(x squared -5) but i dont know how I could get that to equal 0.
Found 2 solutions by nerdybill, MathLover1:
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
You were correct in your approach...

set each term (the "x" and the "x^2-5" to zero to get:
x^2-5 = 0
x^2 = 5
x = +-sqrt(5)
.
and, of course
x = 0
.
so, the solution set is:
x = {-sqrt(5), 0, sqrt(5)}

Answer by MathLover1(20855) (Show Source): You can put this solution on YOUR website!

.......factor it out

...now you have a product of and equal to
means if , whole product is equal to ...that is first solution
and, if , whole product is equal to ; so, find other two solutions
solve for
...->.......->...=+-
finally, roots are:

or
or