5 d y = 6 x d x
Solve for d (complex solution)
\left\{\begin{matrix}\\d=0\text{, }&\text{unconditionally}\\d\in \mathrm{C}\text{, }&y=\frac{6x^{2}}{5}\end{matrix}\right.
Solve for d
\left\{\begin{matrix}\\d=0\text{, }&\text{unconditionally}\\d\in \mathrm{R}\text{, }&y=\frac{6x^{2}}{5}\end{matrix}\right.
Solve for x (complex solution)
\left\{\begin{matrix}\\x=-\frac{\sqrt{30y}}{6}\text{; }x=\frac{\sqrt{30y}}{6}\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&d=0\end{matrix}\right.
Solve for x
\left\{\begin{matrix}x=\frac{\sqrt{30y}}{6}\text{; }x=-\frac{\sqrt{30y}}{6}\text{, }&y\geq 0\\x\in \mathrm{R}\text{, }&d=0\end{matrix}\right.
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5dy=6x^{2}d
Multiply x and x to get x^{2}.
5dy-6x^{2}d=0
Subtract 6x^{2}d from both sides.
\left(5y-6x^{2}\right)d=0
Combine all terms containing d.
d=0
Divide 0 by 5y-6x^{2}.
5dy=6x^{2}d
Multiply x and x to get x^{2}.
5dy-6x^{2}d=0
Subtract 6x^{2}d from both sides.
\left(5y-6x^{2}\right)d=0
Combine all terms containing d.
d=0
Divide 0 by 5y-6x^{2}.
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Limits
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