Solve for p p^3-16p=0

Math
p3-16p=0
Factor the left side of the equation.
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Factor p out of p3-16p.
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Factor p out of p3.
p⋅p2-16p=0
Factor p out of -16p.
p⋅p2+p⋅-16=0
Factor p out of p⋅p2+p⋅-16.
p(p2-16)=0
p(p2-16)=0
Rewrite 16 as 42.
p(p2-42)=0
Factor.
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Since both terms are perfect squares, factor using the difference of squares formula, a2-b2=(a+b)(a-b) where a=p and b=4.
p((p+4)(p-4))=0
Remove unnecessary parentheses.
p(p+4)(p-4)=0
p(p+4)(p-4)=0
p(p+4)(p-4)=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+4=0
p-4=0
Set the first factor equal to 0.
p=0
Set the next factor equal to 0 and solve.
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Set the next factor equal to 0.
p+4=0
Subtract 4 from both sides of the equation.
p=-4
p=-4
Set the next factor equal to 0 and solve.
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Set the next factor equal to 0.
p-4=0
Add 4 to both sides of the equation.
p=4
p=4
The final solution is all the values that make p(p+4)(p-4)=0 true.
p=0,-4,4
Solve for p p^3-16p=0

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