Divide by the leading term 2:

Transfer the constant term to the other side:

We complete the square by adding 25/16 on both sides, since we will exploit the binomial formula

Our equation now reads as:

Simplify:

Take square roots:

and solve for *x*:

Our two roots are

Consequently the polynomial can be factored as

2

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Sat Jun 21 21:01:03 MDT 1997

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