x^2 - 75 = -10x
Add 10x to both sides.
x^2 + 10x - 75
Check if splitting the middle term is possible.
Display factors of -75.
1 * -75
-1 * 75
-5 * 15 < (this meets the criteria)
Split the middle term.
x^2 - 5x + 15x - 75
Factor each binomial.
x(x - 5) + 15(x - 5)
Combine factors.
(x + 15)(x - 5) is the completely factored form of the provided quadratic.