Solve for f (complex solution)
\left\{\begin{matrix}\\f=\left(x-3\right)\left(x-1\right)\text{, }&\text{unconditionally}\\f\in \mathrm{C}\text{, }&x=0\end{matrix}\right.
Solve for f
\left\{\begin{matrix}\\f=\left(x-3\right)\left(x-1\right)\text{, }&\text{unconditionally}\\f\in \mathrm{R}\text{, }&x=0\end{matrix}\right.
Solve for x (complex solution)
x=\sqrt{f+1}+2
x=0
x=-\sqrt{f+1}+2
Solve for x
\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x=-\sqrt{f+1}+2\text{; }x=\sqrt{f+1}+2\text{, }&f\geq -1\end{matrix}\right.
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xf=x^{3}-4x^{2}+3x
The equation is in standard form.
\frac{xf}{x}=\frac{x\left(x-3\right)\left(x-1\right)}{x}
Divide both sides by x.
f=\frac{x\left(x-3\right)\left(x-1\right)}{x}
Dividing by x undoes the multiplication by x.
f=\left(x-3\right)\left(x-1\right)
Divide x\left(-3+x\right)\left(-1+x\right) by x.
xf=x^{3}-4x^{2}+3x
The equation is in standard form.
\frac{xf}{x}=\frac{x\left(x-3\right)\left(x-1\right)}{x}
Divide both sides by x.
f=\frac{x\left(x-3\right)\left(x-1\right)}{x}
Dividing by x undoes the multiplication by x.
f=\left(x-3\right)\left(x-1\right)
Divide x\left(-3+x\right)\left(-1+x\right) by x.
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Limits
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