6p+pq-5pr=

Solution for 6p+pq-5pr= equation:

Simplifying
6p + pq + -5pr = 0

Solving
6p + pq + -5pr = 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), 'p'.
p(6 + q + -5r) = 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 '(6 + q + -5r)' equal to zero and attempt to solve:

Simplifying
6 + q + -5r = 0

Solving
6 + q + -5r = 0

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

Add '-6' to each side of the equation.
6 + q + -6 + -5r = 0 + -6

Reorder the terms:
6 + -6 + q + -5r = 0 + -6

Combine like terms: 6 + -6 = 0
0 + q + -5r = 0 + -6
q + -5r = 0 + -6

Combine like terms: 0 + -6 = -6
q + -5r = -6

Add '-1q' to each side of the equation.
q + -1q + -5r = -6 + -1q

Combine like terms: q + -1q = 0
0 + -5r = -6 + -1q
-5r = -6 + -1q

Add '5r' to each side of the equation.
-5r + 5r = -6 + -1q + 5r

Combine like terms: -5r + 5r = 0
0 = -6 + -1q + 5r

Simplifying
0 = -6 + -1q + 5r

The solution to this equation could not be determined.

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