(p-q)(z-px-qz)=1

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Solution for (p-q)(z-px-qz)=1 equation:


Simplifying
(p + -1q)(z + -1px + -1qz) = 1

Reorder the terms:
(p + -1q)(-1px + -1qz + z) = 1

Multiply (p + -1q) * (-1px + -1qz + z)
(p(-1px + -1qz + z) + -1q * (-1px + -1qz + z)) = 1
((-1px * p + -1qz * p + z * p) + -1q * (-1px + -1qz + z)) = 1

Reorder the terms:
((-1pqz + pz + -1p2x) + -1q * (-1px + -1qz + z)) = 1
((-1pqz + pz + -1p2x) + -1q * (-1px + -1qz + z)) = 1
(-1pqz + pz + -1p2x + (-1px * -1q + -1qz * -1q + z * -1q)) = 1

Reorder the terms:
(-1pqz + pz + -1p2x + (1pqx + -1qz + 1q2z)) = 1
(-1pqz + pz + -1p2x + (1pqx + -1qz + 1q2z)) = 1

Reorder the terms:
(1pqx + -1pqz + pz + -1p2x + -1qz + 1q2z) = 1
(1pqx + -1pqz + pz + -1p2x + -1qz + 1q2z) = 1

Solving
1pqx + -1pqz + pz + -1p2x + -1qz + 1q2z = 1

Solving for variable 'p'.

Reorder the terms:
-1 + 1pqx + -1pqz + pz + -1p2x + -1qz + 1q2z = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 1pqx + -1pqz + pz + -1p2x + -1qz + 1q2z = 0

The solution to this equation could not be determined.

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