First off you can factor 5x out of each of the terms because they all are divisible by 5 and x
5x(x^2 + 7x + 10)
Next we will use the AC method to factor the rest.
quadratic equations come in the form
ax^2 + bx + c
the AC method multiplies a and c you have to figure out what two numbers multiply to that product and add up to b.
x^2 + 7x + 10
so a is 1 and c is 10. 1 × 10 = 10.
What numbers add up to b (7) and multiple to 10?
2 and 5
5x(x^2 + 5x + 2x + 10)
factor by grouping
5x( x(x + 5) + 2(x + 5) )
5x(x + 2)(x + 5)
hope this helps!