5p+pq=4pr

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Solution for 5p+pq=4pr equation: 


Simplifying
5p + pq = 4pr

Solving
5p + pq = 4pr

Solving for variable 'p'.

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

Add '-4pr' to each side of the equation.
5p + pq + -4pr = 4pr + -4pr

Combine like terms: 4pr + -4pr = 0
5p + pq + -4pr = 0

Factor out the Greatest Common Factor (GCF), 'p'.
p(5 + q + -4r) = 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 '(5 + q + -4r)' equal to zero and attempt to solve:

Simplifying
5 + q + -4r = 0

Solving
5 + q + -4r = 0

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

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

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

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

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

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

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

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

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

Simplifying
0 = -5 + -1q + 4r

The solution to this equation could not be determined.

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

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