Solve for f
\left\{\begin{matrix}f=\frac{\left(2x-1\right)^{5}+y}{x}\text{, }&x\neq 0\\f\in \mathrm{R}\text{, }&y=1\text{ and }x=0\end{matrix}\right.
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fx-\left(2x-1\right)^{5}=y
Swap sides so that all variable terms are on the left hand side.
fx=y+\left(2x-1\right)^{5}
Add \left(2x-1\right)^{5} to both sides.
xf=\left(2x-1\right)^{5}+y
The equation is in standard form.
\frac{xf}{x}=\frac{\left(2x-1\right)^{5}+y}{x}
Divide both sides by x.
f=\frac{\left(2x-1\right)^{5}+y}{x}
Dividing by x undoes the multiplication by x.
Examples
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Matrix
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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