f ( x ) = 4 x e ^ { 0,3 x }
Solve for f
\left\{\begin{matrix}\\f=4e^{\frac{3x}{10}}\text{, }&\text{unconditionally}\\f\in \mathrm{R}\text{, }&x=0\end{matrix}\right.
Solve for x
\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x=\frac{10\ln(f)-20\ln(2)}{3}\text{, }&f>0\end{matrix}\right.
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xf=4xe^{\frac{3x}{10}}
The equation is in standard form.
\frac{xf}{x}=\frac{4xe^{\frac{3x}{10}}}{x}
Divide both sides by x.
f=\frac{4xe^{\frac{3x}{10}}}{x}
Dividing by x undoes the multiplication by x.
f=4e^{\frac{3x}{10}}
Divide 4xe^{\frac{3x}{10}} by x.
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