#### Answer

Consider the equation
$$\sqrt{2x+1}=x-7$$
Squaring the left side and simplifying results in $2x+1$
Squaring the right side and simplifying results in $x^{2}-14x+49$

#### Work Step by Step

The equation given is
$$\sqrt{2x+1}=x-7$$
Squaring the left side of the equation results in the elimination of the square root, so the first answer is:
$(\sqrt{2x+1})^{2}=2x+1$
The right side is a binomial, squaring it and simplifying it produces a trinomial, which is:
$(x-7)^{2}=x^{2}-14x+49$