x2-7x=0

Factor x out of x2.

x⋅x-7x=0

Factor x out of -7x.

x⋅x+x⋅-7=0

Factor x out of x⋅x+x⋅-7.

x(x-7)=0

x(x-7)=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-7=0

Set the first factor equal to 0.

x=0

Set the next factor equal to 0.

x-7=0

Add 7 to both sides of the equation.

x=7

x=7

The final solution is all the values that make x(x-7)=0 true.

x=0,7

Solve using the Square Root Property x^2-7x=0