(p-q)(p-q)-5(p-q)-24=0

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Solution for (p-q)(p-q)-5(p-q)-24=0 equation: 


Simplifying
(p + -1q)(p + -1q) + -5(p + -1q) + -24 = 0

Multiply (p + -1q) * (p + -1q)
(p(p + -1q) + -1q * (p + -1q)) + -5(p + -1q) + -24 = 0
((p * p + -1q * p) + -1q * (p + -1q)) + -5(p + -1q) + -24 = 0

Reorder the terms:
((-1pq + p2) + -1q * (p + -1q)) + -5(p + -1q) + -24 = 0
((-1pq + p2) + -1q * (p + -1q)) + -5(p + -1q) + -24 = 0
(-1pq + p2 + (p * -1q + -1q * -1q)) + -5(p + -1q) + -24 = 0
(-1pq + p2 + (-1pq + 1q2)) + -5(p + -1q) + -24 = 0

Reorder the terms:
(-1pq + -1pq + p2 + 1q2) + -5(p + -1q) + -24 = 0

Combine like terms: -1pq + -1pq = -2pq
(-2pq + p2 + 1q2) + -5(p + -1q) + -24 = 0
-2pq + p2 + 1q2 + (p * -5 + -1q * -5) + -24 = 0
-2pq + p2 + 1q2 + (-5p + 5q) + -24 = 0

Reorder the terms:
-24 + -5p + -2pq + p2 + 5q + 1q2 = 0

Solving
-24 + -5p + -2pq + p2 + 5q + 1q2 = 0

Solving for variable 'p'.

The solution to this equation could not be determined.

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