Step-by-step explanation:

[tex]7 {x}^{2} - 19x - 6 = 0 \\ \\ 7 {x}^{2} - 21x + 2x - 6 = 0 \\ \\ 7x(x - 3)2(x - 3) = 0 \\ \\ (7x + 2)(x - 3) = 0 \\ \\ 7x = - 2 \: and \: x = 3 \\ \\ x = \frac{ - 2}{7} \: and \: x = 3[/tex]

I hope this is right ...

Answer:

[tex]7x {}^{2} - 19x - 6 \\ ⇒7 {x }^{2} - 21x + 2x - 6 \\ ⇒7x(x - 3) + 2(x - 3) \\ ⇒(7x + 2)(x - 3) \: \: \: \: \: \: \: [/tex]

Step-by-step explanation:

Cheers :)