T(r+s)=rs

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Solution for T(r+s)=rs equation:


Simplifying
T(r + s) = rs
(r * T + s * T) = rs
(rT + sT) = rs

Solving
rT + sT = rs

Solving for variable 'r'.

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

Add '-1rs' to each side of the equation.
rT + -1rs + sT = rs + -1rs

Combine like terms: rs + -1rs = 0
rT + -1rs + sT = 0

Add '-1sT' to each side of the equation.
rT + -1rs + sT + -1sT = 0 + -1sT

Combine like terms: sT + -1sT = 0
rT + -1rs + 0 = 0 + -1sT
rT + -1rs = 0 + -1sT
Remove the zero:
rT + -1rs = -1sT

Combine like terms: -1sT + sT = 0
rT + -1rs + sT = 0

The solution to this equation could not be determined.

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