-6p(p+q)=

Solution for -6p(p+q)= equation:

Simplifying
-6p(p + q) = 0
(p * -6p + q * -6p) = 0

Reorder the terms:
(-6pq + -6p2) = 0
(-6pq + -6p2) = 0

Solving
-6pq + -6p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '-6p'.
-6p(q + p) = 0

Ignore the factor -6.
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}