SOLVE THE EQUATION BY FACTORING

PLEAZE EXPLAIN.THANKS.
19. 6X TO SECOND POWER-10X-4=0

6X^2 - 10X - 4 = 0

Since the last number is -4, it is very likely that one of the factors ends in -4.

Since the first term is 6X^2 (6X to the second power), it is likely that the first term in one of the factors is 6X and the other is X, although it might also be 2X and 3X.

If the -4 is multiplied by X, that gives you -4X as part of the middle term.

What would 6X have to be multiplied by, to add to the -4X, to give you the -10X in the middle term?

This should not only lead you to the answer, but it should suggest a process for factoring other equations.

I hope this helps. Thanks for asking.