ANSWER
b=11
EXPLANATION
The given quadratic equation is
[tex](2x - 1)(x + 6) = 0[/tex]
We expand to get:
[tex]2 {x}^{2} + 12x - x - 6 = 0[/tex]
We simplify further by combining the x terms.
[tex]2 {x}^{2} + 11x - 6 = 0[/tex]
This is the standard form.
Comparing to
[tex]a{x}^{2} + bx + c= 0[/tex]
We have b=11