d y + 7 x d x = 0
Solve for d (complex solution)
\left\{\begin{matrix}\\d=0\text{, }&\text{unconditionally}\\d\in \mathrm{C}\text{, }&y=-7x^{2}\end{matrix}\right.
Solve for d
\left\{\begin{matrix}\\d=0\text{, }&\text{unconditionally}\\d\in \mathrm{R}\text{, }&y=-7x^{2}\end{matrix}\right.
Solve for x (complex solution)
\left\{\begin{matrix}\\x=-\frac{i\sqrt{7y}}{7}\text{; }x=\frac{i\sqrt{7y}}{7}\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&d=0\end{matrix}\right.
Solve for x
\left\{\begin{matrix}x=\frac{\sqrt{-7y}}{7}\text{; }x=-\frac{\sqrt{-7y}}{7}\text{, }&y\leq 0\\x\in \mathrm{R}\text{, }&d=0\end{matrix}\right.
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dy+7x^{2}d=0
Multiply x and x to get x^{2}.
\left(y+7x^{2}\right)d=0
Combine all terms containing d.
\left(7x^{2}+y\right)d=0
The equation is in standard form.
d=0
Divide 0 by y+7x^{2}.
dy+7x^{2}d=0
Multiply x and x to get x^{2}.
\left(y+7x^{2}\right)d=0
Combine all terms containing d.
\left(7x^{2}+y\right)d=0
The equation is in standard form.
d=0
Divide 0 by y+7x^{2}.
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