pq+qr-pq^2r=0

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Solution for pq+qr-pq^2r=0 equation: 


Simplifying
pq + qr + -1pq2r = 0

Reorder the terms:
pq + -1pq2r + qr = 0

Solving
pq + -1pq2r + qr = 0

Solving for variable 'p'.

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

Add '-1qr' to each side of the equation.
pq + -1pq2r + qr + -1qr = 0 + -1qr

Combine like terms: qr + -1qr = 0
pq + -1pq2r + 0 = 0 + -1qr
pq + -1pq2r = 0 + -1qr
Remove the zero:
pq + -1pq2r = -1qr

Combine like terms: -1qr + qr = 0
pq + -1pq2r + qr = 0

Factor out the Greatest Common Factor (GCF), 'q'.
q(p + -1pqr + r) = 0


Subproblem 1
Set the factor 'q' equal to zero and attempt to solve:

Simplifying
q = 0

Solving
q = 0

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

Add '-1q' to each side of the equation.
q + -1q = 0 + -1q
Remove the zero:
0 = -1q

Simplifying
0 = -1q

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(p + -1pqr + r)' equal to zero and attempt to solve:

Simplifying
p + -1pqr + r = 0

Solving
p + -1pqr + r = 0

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

Add '-1r' to each side of the equation.
p + -1pqr + r + -1r = 0 + -1r

Combine like terms: r + -1r = 0
p + -1pqr + 0 = 0 + -1r
p + -1pqr = 0 + -1r
Remove the zero:
p + -1pqr = -1r

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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