10×2-50x=0

Factor 10x out of 10×2.

10x(x)-50x=0

Factor 10x out of -50x.

10x(x)+10x(-5)=0

Factor 10x out of 10x(x)+10x(-5).

10x(x-5)=0

10x(x-5)=0

Divide each term in 10x(x-5)=0 by 10.

10x(x-5)10=010

Simplify 10x(x-5)10.

Cancel the common factor of 10.

Cancel the common factor.

10x(x-5)10=010

Divide x(x-5) by 1.

x(x-5)=010

x(x-5)=010

Apply the distributive property.

x⋅x+x⋅-5=010

Simplify the expression.

Multiply x by x.

x2+x⋅-5=010

Move -5 to the left of x.

x2-5x=010

x2-5x=010

x2-5x=010

Divide 0 by 10.

x2-5x=0

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 10x^2-50x=0