p(p+16)=0

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Solution for p(p+16)=0 equation: 


Simplifying
p(p + 16) = 0

Reorder the terms:
p(16 + p) = 0
(16 * p + p * p) = 0
(16p + p2) = 0

Solving
16p + p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p'.
p(16 + p) = 0


Subproblem 1
Set the factor 'p' equal to zero and attempt to solve:

Simplifying
p = 0

Solving
p = 0

Move all terms containing p to the left, all other terms to the right.

Simplifying
p = 0

Subproblem 2
Set the factor '(16 + p)' equal to zero and attempt to solve:

Simplifying
16 + p = 0

Solving
16 + p = 0

Move all terms containing p to the left, all other terms to the right.

Add '-16' to each side of the equation.
16 + -16 + p = 0 + -16

Combine like terms: 16 + -16 = 0
0 + p = 0 + -16
p = 0 + -16

Combine like terms: 0 + -16 = -16
p = -16

Simplifying
p = -16
Solution
p = {0, -16}

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