Solve for y
y=-3x-\frac{2}{x}
x\neq 0
Solve for x (complex solution)
x=\frac{-\sqrt{y^{2}-24}-y}{6}
x=\frac{\sqrt{y^{2}-24}-y}{6}
Solve for x
x=\frac{-\sqrt{y^{2}-24}-y}{6}
x=\frac{\sqrt{y^{2}-24}-y}{6}\text{, }|y|\geq 2\sqrt{6}
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-2xy=6x^{2}+3x+4-3x
Subtract 3x from both sides.
-2xy=6x^{2}+4
Combine 3x and -3x to get 0.
\left(-2x\right)y=6x^{2}+4
The equation is in standard form.
\frac{\left(-2x\right)y}{-2x}=\frac{6x^{2}+4}{-2x}
Divide both sides by -2x.
y=\frac{6x^{2}+4}{-2x}
Dividing by -2x undoes the multiplication by -2x.
y=-3x-\frac{2}{x}
Divide 6x^{2}+4 by -2x.
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Limits
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