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Solve by completing the square:
Divide through by two to make the x^2 coefficient = 1.
Now subtract 1/2 from both sides.
Complete the square in the x-terms by adding the square of half the coefficient of the x-term to both sides. That's (3/4)^2 = 9/16
Simplify and factor the left side.
Now take the square root of both sides.
The two roots are:
x = 1
x = 1/2