Solve for p
p=\frac{4x+3}{x^{2}}
x\neq 0
Solve for x (complex solution)
\left\{\begin{matrix}x=\frac{\sqrt{3p+4}+2}{p}\text{; }x=\frac{-\sqrt{3p+4}+2}{p}\text{, }&p\neq 0\\x=-\frac{3}{4}\text{, }&p=0\end{matrix}\right.
Solve for x
\left\{\begin{matrix}x=\frac{\sqrt{3p+4}+2}{p}\text{; }x=\frac{-\sqrt{3p+4}+2}{p}\text{, }&p\neq 0\text{ and }p\geq -\frac{4}{3}\\x=-\frac{3}{4}\text{, }&p=0\end{matrix}\right.
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px^{2}-3=4x
Add 4x to both sides. Anything plus zero gives itself.
px^{2}=4x+3
Add 3 to both sides.
x^{2}p=4x+3
The equation is in standard form.
\frac{x^{2}p}{x^{2}}=\frac{4x+3}{x^{2}}
Divide both sides by x^{2}.
p=\frac{4x+3}{x^{2}}
Dividing by x^{2} undoes the multiplication by x^{2}.
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