4p-pq+5pr=

Solution for 4p-pq+5pr= equation:

Simplifying
4p + -1pq + 5pr = 0

Solving
4p + -1pq + 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(4 + -1q + 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 '(4 + -1q + 5r)' equal to zero and attempt to solve:

Simplifying
4 + -1q + 5r = 0

Solving
4 + -1q + 5r = 0

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

Add '-4' to each side of the equation.
4 + -1q + -4 + 5r = 0 + -4

Reorder the terms:
4 + -4 + -1q + 5r = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1q + 5r = 0 + -4
-1q + 5r = 0 + -4

Combine like terms: 0 + -4 = -4
-1q + 5r = -4

Add 'q' to each side of the equation.
-1q + q + 5r = -4 + q

Combine like terms: -1q + q = 0
0 + 5r = -4 + q
5r = -4 + q

Add '-5r' to each side of the equation.
5r + -5r = -4 + q + -5r

Combine like terms: 5r + -5r = 0
0 = -4 + q + -5r

Simplifying
0 = -4 + q + -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}