Solve for f (complex solution)
\left\{\begin{matrix}f=-\frac{y+4}{x}\text{, }&x\neq 0\\f\in \mathrm{C}\text{, }&y=-4\text{ and }x=0\end{matrix}\right.
Solve for x (complex solution)
\left\{\begin{matrix}x=-\frac{y+4}{f}\text{, }&f\neq 0\\x\in \mathrm{C}\text{, }&y=-4\text{ and }f=0\end{matrix}\right.
Solve for f
\left\{\begin{matrix}f=-\frac{y+4}{x}\text{, }&x\neq 0\\f\in \mathrm{R}\text{, }&y=-4\text{ and }x=0\end{matrix}\right.
Solve for x
\left\{\begin{matrix}x=-\frac{y+4}{f}\text{, }&f\neq 0\\x\in \mathrm{R}\text{, }&y=-4\text{ and }f=0\end{matrix}\right.
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f\left(-x\right)-4=y
Swap sides so that all variable terms are on the left hand side.
f\left(-x\right)=y+4
Add 4 to both sides.
-fx=y+4
Reorder the terms.
\left(-x\right)f=y+4
The equation is in standard form.
\frac{\left(-x\right)f}{-x}=\frac{y+4}{-x}
Divide both sides by -x.
f=\frac{y+4}{-x}
Dividing by -x undoes the multiplication by -x.
f=-\frac{y+4}{x}
Divide y+4 by -x.
f\left(-x\right)-4=y
Swap sides so that all variable terms are on the left hand side.
f\left(-x\right)=y+4
Add 4 to both sides.
-fx=y+4
Reorder the terms.
\left(-f\right)x=y+4
The equation is in standard form.
\frac{\left(-f\right)x}{-f}=\frac{y+4}{-f}
Divide both sides by -f.
x=\frac{y+4}{-f}
Dividing by -f undoes the multiplication by -f.
x=-\frac{y+4}{f}
Divide y+4 by -f.
f\left(-x\right)-4=y
Swap sides so that all variable terms are on the left hand side.
f\left(-x\right)=y+4
Add 4 to both sides.
-fx=y+4
Reorder the terms.
\left(-x\right)f=y+4
The equation is in standard form.
\frac{\left(-x\right)f}{-x}=\frac{y+4}{-x}
Divide both sides by -x.
f=\frac{y+4}{-x}
Dividing by -x undoes the multiplication by -x.
f=-\frac{y+4}{x}
Divide y+4 by -x.
f\left(-x\right)-4=y
Swap sides so that all variable terms are on the left hand side.
f\left(-x\right)=y+4
Add 4 to both sides.
-fx=y+4
Reorder the terms.
\left(-f\right)x=y+4
The equation is in standard form.
\frac{\left(-f\right)x}{-f}=\frac{y+4}{-f}
Divide both sides by -f.
x=\frac{y+4}{-f}
Dividing by -f undoes the multiplication by -f.
x=-\frac{y+4}{f}
Divide y+4 by -f.
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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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