Question 112241
We have to factor this equation before we can solve for its values of x.


Since both terms in the problem have 3x as a common factor, we can factor it out on the side:


3x -75x^3 = 0
3x(-25x + 1)


Now, we can use the bottoms up rule in order to get the equation into a reasonable form.


3x(x^2 - 25) = 0


This can be further factored to:
3x(x + 5)(x - 5) = 0


Let's remember to finish the bottoms up:
3x(5x + 1)(5x - 1) = 0


Nwe, we kow our first value of x is 0 because:
3x = 0
x = 0


And our second value comes from the next term:
(5x + 1) = 0
5x = -1
x = -1/5


And our third term comes from the final term:
(5x -1) = 0
5x = 1
x = 1/5