Final answer:
The expression 2x^2 − 2x + 7 is already in its simplest form and cannot be further simplified or factored, which is confirmed by the fact that it doesn't have real roots that would allow for such transformations.
Step-by-step explanation:
The expression 2x^2 − 2x + 7 is a quadratic equation which cannot be further simplified or factored into a product of binomials with integer coefficients, as it does not have any factors that would allow such a transformation. In order to find an equivalent expression, one might think to use various methods such as completing the square or using the quadratic formula; however, in this case, those methods are not applicable since we are not setting the expression equal to zero and solving for x. The expression is already in its simplest form, and some of the provided information seems to be unrelated or incorrect as it pertains to different quadratic equations that are not equivalent to the one in question.