Question 121458
I use the master product method because its easier than guess and check.<br>

6x^2+3x-18=0
3(2x^2+x-6)=0<br>

12|
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1 | 12
2 | 6
3 | 4<br>

(2x^2+4x-3x-6)=0
(2x(x+2)-3(x+2))=0
(2x-3)(x+2)=0<br>

2x-3=0 x+2=0
2x=3 x=-2
x=3/2<br>

so the two solutions are x = 3/2 and x = -2