Solve for P (complex solution)
\left\{\begin{matrix}P=-\frac{2\left(2x-1\right)}{y}\text{, }&y\neq 0\\P\in \mathrm{C}\text{, }&x=\frac{1}{2}\text{ and }y=0\end{matrix}\right.
Solve for P
\left\{\begin{matrix}P=-\frac{2\left(2x-1\right)}{y}\text{, }&y\neq 0\\P\in \mathrm{R}\text{, }&x=\frac{1}{2}\text{ and }y=0\end{matrix}\right.
Solve for x
x=-\frac{Py}{4}+\frac{1}{2}
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Py=2-4x
Subtract 4x from both sides.
yP=2-4x
The equation is in standard form.
\frac{yP}{y}=\frac{2-4x}{y}
Divide both sides by y.
P=\frac{2-4x}{y}
Dividing by y undoes the multiplication by y.
P=\frac{2\left(1-2x\right)}{y}
Divide 2-4x by y.
Py=2-4x
Subtract 4x from both sides.
yP=2-4x
The equation is in standard form.
\frac{yP}{y}=\frac{2-4x}{y}
Divide both sides by y.
P=\frac{2-4x}{y}
Dividing by y undoes the multiplication by y.
P=\frac{2\left(1-2x\right)}{y}
Divide 2-4x by y.
4x=2-Py
Subtract Py from both sides.
\frac{4x}{4}=\frac{2-Py}{4}
Divide both sides by 4.
x=\frac{2-Py}{4}
Dividing by 4 undoes the multiplication by 4.
x=-\frac{Py}{4}+\frac{1}{2}
Divide 2-Py by 4.
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