Question

Solve for x: (3x−2)(2x+3)=0

Answer 1

(3x−2)(2x+3)=0
(3x−2)=0; x = 2/3
(2x+3)=0; x = -3/2

answer
x = -3/2 and x = 2/3

Answer 2

Hi again!

(3x -2)(2x +3) = 0
6x² + 5x - 6 = 0
Now we have to factor the left side
(3x -2)(2x +3) = 0
Set factors equal to 0
3x -2 =0     or   2x + 3 =0
3x = 0 + 2    or   2x= 0 -3
3x = 2          or    2x = -3
x = 2/3 or x =-3/2



I hope that helps!