5p(p+2q)=

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Solution for 5p(p+2q)= equation: 


Simplifying
5p(p + 2q) = 0
(p * 5p + 2q * 5p) = 0

Reorder the terms:
(10pq + 5p2) = 0
(10pq + 5p2) = 0

Solving
10pq + 5p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '5p'.
5p(2q + p) = 0

Ignore the factor 5.

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 '(2q + p)' equal to zero and attempt to solve:

Simplifying
2q + p = 0

Reorder the terms:
p + 2q = 0

Solving
p + 2q = 0

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

Add '-2q' to each side of the equation.
p + 2q + -2q = 0 + -2q

Combine like terms: 2q + -2q = 0
p + 0 = 0 + -2q
p = 0 + -2q
Remove the zero:
p = -2q

Simplifying
p = -2q
Solution
p = {0, -2q}

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