Solve for f (complex solution)
\left\{\begin{matrix}f=-\frac{10+12x-3x^{2}}{y}\text{, }&y\neq 0\\f\in \mathrm{C}\text{, }&\left(x=-\frac{\sqrt{66}}{3}+2\text{ or }x=\frac{\sqrt{66}}{3}+2\right)\text{ and }y=0\end{matrix}\right.
Solve for f
\left\{\begin{matrix}f=-\frac{10+12x-3x^{2}}{y}\text{, }&y\neq 0\\f\in \mathrm{R}\text{, }&\left(x=-\frac{\sqrt{66}}{3}+2\text{ or }x=\frac{\sqrt{66}}{3}+2\right)\text{ and }y=0\end{matrix}\right.
Solve for x (complex solution)
x=\frac{\sqrt{3fy+66}}{3}+2
x=-\frac{\sqrt{3fy+66}}{3}+2
Solve for x
x=\frac{\sqrt{3fy+66}}{3}+2
x=-\frac{\sqrt{3fy+66}}{3}+2\text{, }\left(y\leq 0\text{ or }f\geq -\frac{22}{y}\right)\text{ and }\left(y\geq 0\text{ or }f\leq -\frac{22}{y}\right)
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yf=3x^{2}-12x-10
The equation is in standard form.
\frac{yf}{y}=\frac{3x^{2}-12x-10}{y}
Divide both sides by y.
f=\frac{3x^{2}-12x-10}{y}
Dividing by y undoes the multiplication by y.
yf=3x^{2}-12x-10
The equation is in standard form.
\frac{yf}{y}=\frac{3x^{2}-12x-10}{y}
Divide both sides by y.
f=\frac{3x^{2}-12x-10}{y}
Dividing by y undoes the multiplication by y.
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