The area of a rectangular pool is given by the trinomial to 2y^2+y - 3 what are the possible dimensions of a pool. use factoring

2y² + y - 3

(2y+3) (y-1)

2y (y-1) + 3 (y-1)

2y² - 2y + 3y - 3

2y² + y - 3

2y + 3 = 0

2y = - 3

y = - 3/2

y = - 1 1/2

y - 1 = 0

y = 1

2y² + y - 3 = 0

2 (-3/2) ² + (-3/2) - 3 = 0

2 (9/4) - 3/2 - 3 = 0

18/4 - 3/2 - 3 = 0

18/4 - (3/2 * 2/2) - 3 (4/4) = 0

18/4 - 6/4 - 12/4 = 0

(18 - 6 - 12) / 4 = 0

(18 - 18) / 4 = 0

0/4 = 0

0 = 0