Solve for x
x=-y\left(y-3\right)
y\neq 0
Solve for y (complex solution)
\left\{\begin{matrix}\\y=\frac{\sqrt{9-4x}+3}{2}\text{, }&\text{unconditionally}\\y=\frac{-\sqrt{9-4x}+3}{2}\text{, }&x\neq 0\end{matrix}\right.
Solve for y
\left\{\begin{matrix}y=\frac{-\sqrt{9-4x}+3}{2}\text{, }&x\neq 0\text{ and }x\leq \frac{9}{4}\\y=\frac{\sqrt{9-4x}+3}{2}\text{, }&x\leq \frac{9}{4}\end{matrix}\right.
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x+yy=3y
Multiply both sides of the equation by y.
x+y^{2}=3y
Multiply y and y to get y^{2}.
x=3y-y^{2}
Subtract y^{2} from both sides.
Examples
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Matrix
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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