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First I am going to use the Commutative and Associative Properties on the middle term so that it is something times x, with the x at the end:
It is easier to complete a square if the coefficient of the squared term is 1. So we will divide both sides by 5 (or multiply by 1/5):
Next we find half of the middle coefficient. Half of is
Next we square the "half" and add that number to both sides. . Adding 2/5 to each side we get:
which simplifies to:
The left side is a completed square after what we have done. It is (x + the "half" we found earlier) squared:
Now we find the square root of each side: = +
Rationalizing the denominator on the right: = + = + = + = +
Adding to each side:
which simplifies to:
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