(p-q)*(r-s-t)=0

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Solution for (p-q)*(r-s-t)=0 equation: 


Simplifying
(p + -1q)(r + -1s + -1t) = 0

Multiply (p + -1q) * (r + -1s + -1t)
(p(r + -1s + -1t) + -1q * (r + -1s + -1t)) = 0
((r * p + -1s * p + -1t * p) + -1q * (r + -1s + -1t)) = 0
((pr + -1ps + -1pt) + -1q * (r + -1s + -1t)) = 0
(pr + -1ps + -1pt + (r * -1q + -1s * -1q + -1t * -1q)) = 0
(pr + -1ps + -1pt + (-1qr + 1qs + 1qt)) = 0
(pr + -1ps + -1pt + -1qr + 1qs + 1qt) = 0

Solving
pr + -1ps + -1pt + -1qr + 1qs + 1qt = 0

Solving for variable 'p'.

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

Add 'qr' to each side of the equation.
pr + -1ps + -1pt + -1qr + 1qs + qr + 1qt = 0 + qr

Reorder the terms:
pr + -1ps + -1pt + -1qr + qr + 1qs + 1qt = 0 + qr

Combine like terms: -1qr + qr = 0
pr + -1ps + -1pt + 0 + 1qs + 1qt = 0 + qr
pr + -1ps + -1pt + 1qs + 1qt = 0 + qr
Remove the zero:
pr + -1ps + -1pt + 1qs + 1qt = qr

Add '-1qs' to each side of the equation.
pr + -1ps + -1pt + 1qs + -1qs + 1qt = qr + -1qs

Combine like terms: 1qs + -1qs = 0
pr + -1ps + -1pt + 0 + 1qt = qr + -1qs
pr + -1ps + -1pt + 1qt = qr + -1qs

Add '-1qt' to each side of the equation.
pr + -1ps + -1pt + 1qt + -1qt = qr + -1qs + -1qt

Combine like terms: 1qt + -1qt = 0
pr + -1ps + -1pt + 0 = qr + -1qs + -1qt
pr + -1ps + -1pt = qr + -1qs + -1qt

Reorder the terms:
pr + -1ps + -1pt + -1qr + qs + qt = qr + -1qr + -1qs + qs + -1qt + qt

Combine like terms: qr + -1qr = 0
pr + -1ps + -1pt + -1qr + qs + qt = 0 + -1qs + qs + -1qt + qt
pr + -1ps + -1pt + -1qr + qs + qt = -1qs + qs + -1qt + qt

Combine like terms: -1qs + qs = 0
pr + -1ps + -1pt + -1qr + qs + qt = 0 + -1qt + qt
pr + -1ps + -1pt + -1qr + qs + qt = -1qt + qt

Combine like terms: -1qt + qt = 0
pr + -1ps + -1pt + -1qr + qs + qt = 0

The solution to this equation could not be determined.

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