Solve for p (complex solution)
\left\{\begin{matrix}p=-\frac{4x+B}{y}\text{, }&y\neq 0\\p\in \mathrm{C}\text{, }&x=-\frac{B}{4}\text{ and }y=0\end{matrix}\right.
Solve for B
B=-\left(4x+py\right)
Solve for p
\left\{\begin{matrix}p=-\frac{4x+B}{y}\text{, }&y\neq 0\\p\in \mathrm{R}\text{, }&x=-\frac{B}{4}\text{ and }y=0\end{matrix}\right.
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py+B=-4x
Subtract 4x from both sides. Anything subtracted from zero gives its negation.
py=-4x-B
Subtract B from both sides.
yp=-4x-B
The equation is in standard form.
\frac{yp}{y}=\frac{-4x-B}{y}
Divide both sides by y.
p=\frac{-4x-B}{y}
Dividing by y undoes the multiplication by y.
p=-\frac{4x+B}{y}
Divide -4x-B by y.
py+B=-4x
Subtract 4x from both sides. Anything subtracted from zero gives its negation.
B=-4x-py
Subtract py from both sides.
py+B=-4x
Subtract 4x from both sides. Anything subtracted from zero gives its negation.
py=-4x-B
Subtract B from both sides.
yp=-4x-B
The equation is in standard form.
\frac{yp}{y}=\frac{-4x-B}{y}
Divide both sides by y.
p=\frac{-4x-B}{y}
Dividing by y undoes the multiplication by y.
p=-\frac{4x+B}{y}
Divide -4x-B by y.
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