# Solve for p 4p^2+8p=0 4p2+8p=0
Factor 4p out of 4p2+8p.
Factor 4p out of 4p2.
4p(p)+8p=0
Factor 4p out of 8p.
4p(p)+4p(2)=0
Factor 4p out of 4p(p)+4p(2).
4p(p+2)=0
4p(p+2)=0
Divide each term by 4 and simplify.
Divide each term in 4p(p+2)=0 by 4.
4p(p+2)4=04
Simplify 4p(p+2)4.
Cancel the common factor of 4.
Cancel the common factor.
4p(p+2)4=04
Divide p(p+2) by 1.
p(p+2)=04
p(p+2)=04
Apply the distributive property.
p⋅p+p⋅2=04
Simplify the expression.
Multiply p by p.
p2+p⋅2=04
Move 2 to the left of p.
p2+2p=04
p2+2p=04
p2+2p=04
Divide 0 by 4.
p2+2p=0
p2+2p=0
Factor p out of p2+2p.
Factor p out of p2.
p⋅p+2p=0
Factor p out of 2p.
p⋅p+p⋅2=0
Factor p out of p⋅p+p⋅2.
p(p+2)=0
p(p+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.
p=0
p+2=0
Set the first factor equal to 0.
p=0
Set the next factor equal to 0 and solve.
Set the next factor equal to 0.
p+2=0
Subtract 2 from both sides of the equation.
p=-2
p=-2
The final solution is all the values that make p(p+2)=0 true.
p=0,-2
Solve for p 4p^2+8p=0

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