# Solve by Completing the Square x^2-2x=0

To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of .
Add the term to each side of the equation.
Simplify the equation.
Raise to the power of .
Simplify .
Raise to the power of .
Factor the perfect trinomial square into .
Solve the equation for .
Take the square root of each side of the equation to set up the solution for
Remove the perfect root factor under the radical to solve for .
Any root of is .
The complete solution is the result of both the positive and negative portions of the solution.
First, use the positive value of the to find the first solution.
Move all terms not containing to the right side of the equation.
Add to both sides of the equation.