try the ac method
6 * -3 = -18
factors of -19 are -2 , 3, 3
we need to get +7 form these numbers
3*3 - 2 = = 9 - 2 = + 7 looks good:-
6x^2 + 7x - 3 =
6x^2 + 9x - 2x - 3
or
6x^2 - 2x + 9x - 3
factor the above by grouping:-
2x(3x - 1) + 3(3x - 1)
= (2x + 3)(3x - 1)
thats your answer