(r-3s+t)(2r-s+t)=0

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Solution for (r-3s+t)(2r-s+t)=0 equation: 


Simplifying
(r + -3s + t)(2r + -1s + t) = 0

Multiply (r + -3s + t) * (2r + -1s + t)
(r(2r + -1s + t) + -3s * (2r + -1s + t) + t(2r + -1s + t)) = 0
((2r * r + -1s * r + t * r) + -3s * (2r + -1s + t) + t(2r + -1s + t)) = 0

Reorder the terms:
((-1rs + rt + 2r2) + -3s * (2r + -1s + t) + t(2r + -1s + t)) = 0
((-1rs + rt + 2r2) + -3s * (2r + -1s + t) + t(2r + -1s + t)) = 0
(-1rs + rt + 2r2 + (2r * -3s + -1s * -3s + t * -3s) + t(2r + -1s + t)) = 0

Reorder the terms:
(-1rs + rt + 2r2 + (-6rs + -3st + 3s2) + t(2r + -1s + t)) = 0
(-1rs + rt + 2r2 + (-6rs + -3st + 3s2) + t(2r + -1s + t)) = 0
(-1rs + rt + 2r2 + -6rs + -3st + 3s2 + (2r * t + -1s * t + t * t)) = 0
(-1rs + rt + 2r2 + -6rs + -3st + 3s2 + (2rt + -1st + t2)) = 0

Reorder the terms:
(-1rs + -6rs + rt + 2rt + 2r2 + -3st + -1st + 3s2 + t2) = 0

Combine like terms: -1rs + -6rs = -7rs
(-7rs + rt + 2rt + 2r2 + -3st + -1st + 3s2 + t2) = 0

Combine like terms: rt + 2rt = 3rt
(-7rs + 3rt + 2r2 + -3st + -1st + 3s2 + t2) = 0

Combine like terms: -3st + -1st = -4st
(-7rs + 3rt + 2r2 + -4st + 3s2 + t2) = 0

Solving
-7rs + 3rt + 2r2 + -4st + 3s2 + t2 = 0

Solving for variable 'r'.

The solution to this equation could not be determined.

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