3(p+q)p=

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Solution for 3(p+q)p= equation: 


Simplifying
3(p + q) * p = 0

Reorder the terms for easier multiplication:
3p(p + q) = 0
(p * 3p + q * 3p) = 0

Reorder the terms:
(3pq + 3p2) = 0
(3pq + 3p2) = 0

Solving
3pq + 3p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '3p'.
3p(q + p) = 0

Ignore the factor 3.

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

Simplifying
q + p = 0

Reorder the terms:
p + q = 0

Solving
p + q = 0

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

Add '-1q' to each side of the equation.
p + q + -1q = 0 + -1q

Combine like terms: q + -1q = 0
p + 0 = 0 + -1q
p = 0 + -1q
Remove the zero:
p = -1q

Simplifying
p = -1q
Solution
p = {0, -1q}

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