# Solve using the Square Root Property 5x^2+10x=0

5×2+10x=0
Factor 5x out of 5×2+10x.
Factor 5x out of 5×2.
5x(x)+10x=0
Factor 5x out of 10x.
5x(x)+5x(2)=0
Factor 5x out of 5x(x)+5x(2).
5x(x+2)=0
5x(x+2)=0
Divide each term by 5 and simplify.
Divide each term in 5x(x+2)=0 by 5.
5x(x+2)5=05
Simplify 5x(x+2)5.
Cancel the common factor of 5.
Cancel the common factor.
5x(x+2)5=05
Divide x(x+2) by 1.
x(x+2)=05
x(x+2)=05
Apply the distributive property.
x⋅x+x⋅2=05
Simplify the expression.
Multiply x by x.
x2+x⋅2=05
Move 2 to the left of x.
x2+2x=05
x2+2x=05
x2+2x=05
Divide 0 by 5.
x2+2x=0
x2+2x=0
Factor x out of x2+2x.
Factor x out of x2.
x⋅x+2x=0
Factor x out of 2x.
x⋅x+x⋅2=0
Factor x out of x⋅x+x⋅2.
x(x+2)=0
x(x+2)=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+2=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+2=0
Subtract 2 from both sides of the equation.
x=-2
x=-2
The final solution is all the values that make x(x+2)=0 true.
x=0,-2
Solve using the Square Root Property 5x^2+10x=0