You can put this solution on YOUR website! (2x+3)(x-2)=-2X [multiply using the FOIL method]
2x^2-4x+3x-6=-2x [combine like-terms]
2x^2-x-6=-2x [isolate the x and set the equation equal to zero]
2x^2-x+2x-6=0 [combine like-terms]
2x^2+x-6=0 [factor]
(2x-3)(x+2)=0 [set each factor equal to zero and solve]
.
2x-3=0
2x=3
x=3/2
or
x+2=0
x=-2
.
check by plugging the values of x back into the original equation:
try: x=-2
(2x+3)(x-2)=-2X
(2(-2)+3)((-2)-2)=-2(-2)
(-4+3)(-4)=4
(-1)(-4)=4
4=4 [checks out]
