Solve for m 6m^2+12m=0

6m2+12m=0
Factor 6m out of 6m2+12m.
Factor 6m out of 6m2.
6m(m)+12m=0
Factor 6m out of 12m.
6m(m)+6m(2)=0
Factor 6m out of 6m(m)+6m(2).
6m(m+2)=0
6m(m+2)=0
Divide each term by 6 and simplify.
Divide each term in 6m(m+2)=0 by 6.
6m(m+2)6=06
Simplify 6m(m+2)6.
Cancel the common factor of 6.
Cancel the common factor.
6m(m+2)6=06
Divide m(m+2) by 1.
m(m+2)=06
m(m+2)=06
Apply the distributive property.
m⋅m+m⋅2=06
Simplify the expression.
Multiply m by m.
m2+m⋅2=06
Move 2 to the left of m.
m2+2m=06
m2+2m=06
m2+2m=06
Divide 0 by 6.
m2+2m=0
m2+2m=0
Factor m out of m2+2m.
Factor m out of m2.
m⋅m+2m=0
Factor m out of 2m.
m⋅m+m⋅2=0
Factor m out of m⋅m+m⋅2.
m(m+2)=0
m(m+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.
m=0
m+2=0
Set the first factor equal to 0.
m=0
Set the next factor equal to 0 and solve.
Set the next factor equal to 0.
m+2=0
Subtract 2 from both sides of the equation.
m=-2
m=-2
The final solution is all the values that make m(m+2)=0 true.
m=0,-2
Solve for m 6m^2+12m=0

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