Solve (-2x-1) (9x+2)

Solve and show work

-0.5 or - 2/9

Step-by-step explanation:

(-2x-1) (9x+2)

open the bracket

-18x² - 4x - 9x - 2

-18x²-13x-2

(18x²+9x) (+4x+2)

factorise

9x (2x+1) + 2 (2x+1)

(9x+2) (2x+1)

:separate the bracket and equate to 0

9x+2=0

collect like terms

9x = - 2

divide through by 9

x = - 2/9

or

4x = - 2

divide through by 4

x = - 2/4

: x = - 0.5

answer = - 0.5 or - 2/9