Certainly! Let's analyze the given problem step by step:
We start with the equation:
[tex]\[ P = s_1 t - s_2 t \][/tex]
Notice that both terms on the right-hand side contain the variable [tex]\( t \)[/tex]. We can factor [tex]\( t \)[/tex] out of the right-hand side:
[tex]\[ P = t (s_1 - s_2) \][/tex]
Our goal is to solve for [tex]\( t \)[/tex]. To isolate [tex]\( t \)[/tex], we can divide both sides of the equation by the factor [tex]\( (s_1 - s_2) \)[/tex]:
[tex]\[ t = \frac{P}{s_1 - s_2} \][/tex]
Therefore, the equation solved for [tex]\( t \)[/tex] is:
[tex]\[ t = \frac{P}{s_1 - s_2} \][/tex]
Among the given options, the correct one is:
[tex]\[ \bigoplus_{t=} \frac{P}{s_1 - s_2} \][/tex]
This is the simplified and accurate solution.