Solve for f
f=2-\frac{9}{x}
x\neq 0
Solve for x
x=-\frac{9}{f-2}
f\neq 2
Graph
Share
Copied to clipboard
fx+4=-11+2x+6
Use the distributive property to multiply 2 by x+3.
fx+4=-5+2x
Add -11 and 6 to get -5.
fx=-5+2x-4
Subtract 4 from both sides.
fx=-9+2x
Subtract 4 from -5 to get -9.
xf=2x-9
The equation is in standard form.
\frac{xf}{x}=\frac{2x-9}{x}
Divide both sides by x.
f=\frac{2x-9}{x}
Dividing by x undoes the multiplication by x.
f=2-\frac{9}{x}
Divide -9+2x by x.
fx+4=-11+2x+6
Use the distributive property to multiply 2 by x+3.
fx+4=-5+2x
Add -11 and 6 to get -5.
fx+4-2x=-5
Subtract 2x from both sides.
fx-2x=-5-4
Subtract 4 from both sides.
fx-2x=-9
Subtract 4 from -5 to get -9.
\left(f-2\right)x=-9
Combine all terms containing x.
\frac{\left(f-2\right)x}{f-2}=-\frac{9}{f-2}
Divide both sides by f-2.
x=-\frac{9}{f-2}
Dividing by f-2 undoes the multiplication by f-2.
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}