Solve for y
y=-x-\frac{2}{x}
x\neq 0
Solve for x (complex solution)
x=\frac{\sqrt{y^{2}-8}-y}{2}
x=\frac{-\sqrt{y^{2}-8}-y}{2}
Solve for x
x=\frac{\sqrt{y^{2}-8}-y}{2}
x=\frac{-\sqrt{y^{2}-8}-y}{2}\text{, }|y|\geq 2\sqrt{2}
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xy+2=-x^{2}
Subtract x^{2} from both sides. Anything subtracted from zero gives its negation.
xy=-x^{2}-2
Subtract 2 from both sides.
\frac{xy}{x}=\frac{-x^{2}-2}{x}
Divide both sides by x.
y=\frac{-x^{2}-2}{x}
Dividing by x undoes the multiplication by x.
y=-x-\frac{2}{x}
Divide -x^{2}-2 by x.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
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Matrix
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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