Solve for y
y=-x\left(x-2\right)
x\neq -2
Solve for x (complex solution)
\left\{\begin{matrix}\\x=\sqrt{1-y}+1\text{, }&\text{unconditionally}\\x=-\sqrt{1-y}+1\text{, }&y\neq -8\end{matrix}\right.
Solve for x
\left\{\begin{matrix}x=-\sqrt{1-y}+1\text{, }&y\neq -8\text{ and }y\leq 1\\x=\sqrt{1-y}+1\text{, }&y\leq 1\end{matrix}\right.
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y=\frac{x\left(x-2\right)\left(-x-2\right)}{x+2}
Factor the expressions that are not already factored in \frac{4x-x^{3}}{x+2}.
y=\frac{-x\left(x-2\right)\left(x+2\right)}{x+2}
Extract the negative sign in -2-x.
y=-x\left(x-2\right)
Cancel out x+2 in both numerator and denominator.
y=-x^{2}+2x
Expand the expression.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}