5×2+10x=0

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 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.

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.

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