Solve for P
P=\left(\frac{1}{2}-\frac{1}{2}i\right)S
Solve for S
S=\left(1+i\right)P
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P\left(1+i\right)=S
Swap sides so that all variable terms are on the left hand side.
\left(1+i\right)P=S
The equation is in standard form.
\frac{\left(1+i\right)P}{1+i}=\frac{S}{1+i}
Divide both sides by 1+i.
P=\frac{S}{1+i}
Dividing by 1+i undoes the multiplication by 1+i.
P=\left(\frac{1}{2}-\frac{1}{2}i\right)S
Divide S by 1+i.
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