Solve for a (complex solution)
\left\{\begin{matrix}a=-\frac{3x^{2}+6x-2}{y}\text{, }&y\neq 0\\a\in \mathrm{C}\text{, }&\left(x=-\frac{\sqrt{15}}{3}-1\text{ or }x=\frac{\sqrt{15}}{3}-1\right)\text{ and }y=0\end{matrix}\right.
Solve for a
\left\{\begin{matrix}a=-\frac{3x^{2}+6x-2}{y}\text{, }&y\neq 0\\a\in \mathrm{R}\text{, }&\left(x=-\frac{\sqrt{15}}{3}-1\text{ or }x=\frac{\sqrt{15}}{3}-1\right)\text{ and }y=0\end{matrix}\right.
Solve for x (complex solution)
x=-\frac{\sqrt{15-3ay}}{3}-1
x=\frac{\sqrt{15-3ay}}{3}-1
Solve for x
x=-\frac{\sqrt{15-3ay}}{3}-1
x=\frac{\sqrt{15-3ay}}{3}-1\text{, }\left(y\geq 0\text{ or }a\geq \frac{5}{y}\right)\text{ and }\left(y\leq 0\text{ or }a\leq \frac{5}{y}\right)
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ya=2-6x-3x^{2}
The equation is in standard form.
\frac{ya}{y}=\frac{2-6x-3x^{2}}{y}
Divide both sides by y.
a=\frac{2-6x-3x^{2}}{y}
Dividing by y undoes the multiplication by y.
ya=2-6x-3x^{2}
The equation is in standard form.
\frac{ya}{y}=\frac{2-6x-3x^{2}}{y}
Divide both sides by y.
a=\frac{2-6x-3x^{2}}{y}
Dividing by y undoes the multiplication by y.
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