(-2r+s+t)*(t+s)=

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

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

Reorder the terms:
(-2r + s + t)(s + t) = 0

Multiply (-2r + s + t) * (s + t)
(-2r * (s + t) + s(s + t) + t(s + t)) = 0
((s * -2r + t * -2r) + s(s + t) + t(s + t)) = 0
((-2rs + -2rt) + s(s + t) + t(s + t)) = 0
(-2rs + -2rt + (s * s + t * s) + t(s + t)) = 0

Reorder the terms:
(-2rs + -2rt + (st + s2) + t(s + t)) = 0
(-2rs + -2rt + (st + s2) + t(s + t)) = 0
(-2rs + -2rt + st + s2 + (s * t + t * t)) = 0
(-2rs + -2rt + st + s2 + (st + t2)) = 0

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

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

Solving
-2rs + -2rt + 2st + s2 + t2 = 0

Solving for variable 'r'.

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

Add '-2st' to each side of the equation.
-2rs + -2rt + 2st + s2 + -2st + t2 = 0 + -2st

Reorder the terms:
-2rs + -2rt + 2st + -2st + s2 + t2 = 0 + -2st

Combine like terms: 2st + -2st = 0
-2rs + -2rt + 0 + s2 + t2 = 0 + -2st
-2rs + -2rt + s2 + t2 = 0 + -2st
Remove the zero:
-2rs + -2rt + s2 + t2 = -2st

Add '-1s2' to each side of the equation.
-2rs + -2rt + s2 + -1s2 + t2 = -2st + -1s2

Combine like terms: s2 + -1s2 = 0
-2rs + -2rt + 0 + t2 = -2st + -1s2
-2rs + -2rt + t2 = -2st + -1s2

Add '-1t2' to each side of the equation.
-2rs + -2rt + t2 + -1t2 = -2st + -1s2 + -1t2

Combine like terms: t2 + -1t2 = 0
-2rs + -2rt + 0 = -2st + -1s2 + -1t2
-2rs + -2rt = -2st + -1s2 + -1t2

Reorder the terms:
-2rs + -2rt + 2st + s2 + t2 = -2st + 2st + -1s2 + s2 + -1t2 + t2

Combine like terms: -2st + 2st = 0
-2rs + -2rt + 2st + s2 + t2 = 0 + -1s2 + s2 + -1t2 + t2
-2rs + -2rt + 2st + s2 + t2 = -1s2 + s2 + -1t2 + t2

Combine like terms: -1s2 + s2 = 0
-2rs + -2rt + 2st + s2 + t2 = 0 + -1t2 + t2
-2rs + -2rt + 2st + s2 + t2 = -1t2 + t2

Combine like terms: -1t2 + t2 = 0
-2rs + -2rt + 2st + s2 + t2 = 0

The solution to this equation could not be determined.