Answer:
[tex]x = 3 \: \: \: \: \: \: or \: \: \: \: x = - \frac{3}{2} [/tex]
Step-by-step explanation:
[tex]2x^2+3x-9=0 \\ 2x {}^{2} + 3x - 6x - 9 = 0 \\ x(2x + 3) - 3(2x + 3) = 0 \\ (x - 3) \: \: \: \: or \: \: \: \: \: (2x + 3) = 0 \\ x - 3 = 0 \: \: or \: \: \: 2x + 3 = 0 \\ x = 3 \: \: \: \: \: \: \: \: \: or \: \: \: \: x = - \frac { 3}{2} [/tex]
