Solve for f
f\neq 0
x=0\text{ or }\left(x=2\text{ and }f\neq 0\right)
Solve for x
x=2
x=0\text{, }f\neq 0
Graph
Share
Copied to clipboard
fx=fx^{2}-xf
Variable f cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by f.
fx-fx^{2}=-xf
Subtract fx^{2} from both sides.
fx-fx^{2}+xf=0
Add xf to both sides.
2fx-fx^{2}=0
Combine fx and xf to get 2fx.
\left(2x-x^{2}\right)f=0
Combine all terms containing f.
f=0
Divide 0 by 2x-x^{2}.
f\in \emptyset
Variable f cannot be equal to 0.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}