Solve the equation by factoring. 9 xsquared + 21x - 8 = 0

9x² + 21x - 8 = 0. This equation could be written as a (x-x') (x-x"), where

a = 9, x' = the 1st root and x" = the 2nd root ...

Find the roots:

x' = [-b+√ (b²-4. a. c) ]/2. a and x" = [-b-√ (b²-4. a. c) ]/2. a

x' = 1/3 and x" = - 8/3 and the initial factorized equation becomes:

9 (x-1/3) (x+8/3)

After reduction to same denominator and simplifying by 9, you get:

(3x-1) (3x+8) ( = 9x² + 21x - 8)