Answer :

2x²-2x-12=0
x²-x-6=0
(x-3)(x+2)=0
x-3 =0,   x+2=0
x(1)=3, and x(2)=-2
The solutions make the equation true, and the solutions give x-intercepts of the graph of the equation.
(-2, 0) and (3,0) are x -intercepts for the graph of y = 2x²-2x-12

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