10×2-100x=0

Factor 10x out of 10×2.

10x(x)-100x=0

Factor 10x out of -100x.

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

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

10x(x-10)=0

10x(x-10)=0

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

10x(x-10)10=010

Simplify 10x(x-10)10.

Cancel the common factor of 10.

Cancel the common factor.

10x(x-10)10=010

Divide x(x-10) by 1.

x(x-10)=010

x(x-10)=010

Apply the distributive property.

x⋅x+x⋅-10=010

Simplify the expression.

Multiply x by x.

x2+x⋅-10=010

Move -10 to the left of x.

x2-10x=010

x2-10x=010

x2-10x=010

Divide 0 by 10.

x2-10x=0

x2-10x=0

Factor x out of x2.

x⋅x-10x=0

Factor x out of -10x.

x⋅x+x⋅-10=0

Factor x out of x⋅x+x⋅-10.

x(x-10)=0

x(x-10)=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-10=0

Set the first factor equal to 0.

x=0

Set the next factor equal to 0.

x-10=0

Add 10 to both sides of the equation.

x=10

x=10

The final solution is all the values that make x(x-10)=0 true.

x=0,10

Solve Using the Square Root Property 10x^2-100x=0