Simplify by factoring out the greatest common factor.

10x^4-15x^2+25x =

The greatest common factor of 10x^4, -15x^2, and 25x is 5x.

Factoring out 5x from each term, we get:

10x^4-15x^2+25x = 5x(2x^3 - 3x + 5)