x2-5x=0

Factor x out of x2.

x⋅x-5x=0

Factor x out of -5x.

x⋅x+x⋅-5=0

Factor x out of x⋅x+x⋅-5.

x(x-5)=0

x(x-5)=0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

x=0

x-5=0

Set the first factor equal to 0.

x=0

Set the next factor equal to 0.

x-5=0

Add 5 to both sides of the equation.

x=5

x=5

The final solution is all the values that make x(x-5)=0 true.

x=0,5

Solve Using the Square Root Property x^2-5x=0