p(4q+2r)=

Solution for p(4q+2r)= equation:

Simplifying
p(4q + 2r) = 0
(4q * p + 2r * p) = 0
(4pq + 2pr) = 0

Solving
4pq + 2pr = 0

Solving for variable 'p'.

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

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

Ignore the factor 2.
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 + r)' equal to zero and attempt to solve:

Simplifying
2q + r = 0

Solving
2q + r = 0

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

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

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

Add '-1r' to each side of the equation.
r + -1r = -2q + -1r

Combine like terms: r + -1r = 0
0 = -2q + -1r

Simplifying
0 = -2q + -1r

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
p = {0}