# Solve Using the Square Root Property 10x^2-50x=0 10×2-50x=0
Factor 10x out of 10×2-50x.
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 by 10 and simplify.
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 x2-5x.
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 and solve.
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     