Solve for I
I=\frac{26}{2xy+\frac{x^{2}}{2}+С}
С\neq -\frac{x\left(x+4y\right)}{2}
Solve for y
\left\{\begin{matrix}y=\frac{52-Ix^{2}}{4Ix}+\frac{С}{x}\text{, }&I\neq 0\text{ and }x\neq 0\\y\in \mathrm{R}\text{, }&I=\frac{52}{С}\text{ and }x=0\text{ and }С_{1}\neq 0\end{matrix}\right.
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\left(2xy+\frac{x^{2}}{2}+С\right)I=26
The equation is in standard form.
\frac{\left(2xy+\frac{x^{2}}{2}+С\right)I}{2xy+\frac{x^{2}}{2}+С}=\frac{26}{2xy+\frac{x^{2}}{2}+С}
Divide both sides by \frac{1}{2}x^{2}+2yx+С.
I=\frac{26}{2xy+\frac{x^{2}}{2}+С}
Dividing by \frac{1}{2}x^{2}+2yx+С undoes the multiplication by \frac{1}{2}x^{2}+2yx+С.
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