Algebra 1 homework!asap! write an equation in which the quadratic expression 2x^2 - 2x - 12 equals 0. show the expression in factored form and explain what your solutions mean for the equation. show your work.

2x²-2x-12=0

simplify it into x²-x-6=0

factored form: (x-3)(x+2)=0

solutions: x-3=0 or x+2=0

x=3 or x=-2

Not sure how to explain "what the solutions mean for the equation". One thing you can say is that the solutions mean the equations have two roots/two zeros: 3 and -2, or the graph of 2x²-2x-12 intersects the x axis at (3,0) and (-2,0). 

step-by-step explanation:

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