Solve for y (complex solution)
\left\{\begin{matrix}\\y=0\text{, }&\text{unconditionally}\\y\in \mathrm{C}\text{, }&x=0\text{ or }x=3\end{matrix}\right.
Solve for y
\left\{\begin{matrix}\\y=0\text{, }&\text{unconditionally}\\y\in \mathrm{R}\text{, }&x=0\text{ or }x=3\end{matrix}\right.
Solve for x (complex solution)
\left\{\begin{matrix}\\x=0\text{; }x=3\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&y=0\end{matrix}\right.
Solve for x
\left\{\begin{matrix}\\x=0\text{; }x=3\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&y=0\end{matrix}\right.
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4yx^{2}-\frac{4}{3}yx^{3}=0
Subtract \frac{4}{3}yx^{3} from both sides.
\left(4x^{2}-\frac{4}{3}x^{3}\right)y=0
Combine all terms containing y.
\left(-\frac{4x^{3}}{3}+4x^{2}\right)y=0
The equation is in standard form.
y=0
Divide 0 by 4x^{2}-\frac{4}{3}x^{3}.
4yx^{2}-\frac{4}{3}yx^{3}=0
Subtract \frac{4}{3}yx^{3} from both sides.
\left(4x^{2}-\frac{4}{3}x^{3}\right)y=0
Combine all terms containing y.
\left(-\frac{4x^{3}}{3}+4x^{2}\right)y=0
The equation is in standard form.
y=0
Divide 0 by 4x^{2}-\frac{4}{3}x^{3}.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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