Solve (509)(u)=f(9(u))

$$( 509 ) ( u ) = f ( 9 ( u ) )$$

Solve for f

$$\left\{\begin{matrix}\\f=\frac{509}{9}\approx 56.555555556\text{, }&\text{unconditionally}\\f\in \mathrm{R}\text{, }&u=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$f\times 9u=509u$$

The equation is in standard form.

$$9uf=509u$$

Divide both sides by 9u.

$$\frac{9uf}{9u}=\frac{509u}{9u}$$

Dividing by 9u undoes the multiplication by 9u.

$$f=\frac{509u}{9u}$$

Divide 509u by 9u.

$$f=\frac{509}{9}$$

Solve for u

$$\left\{\begin{matrix}\\u=0\text{, }&\text{unconditionally}\\u\in \mathrm{R}\text{, }&f=\frac{509}{9}\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract f\times 9u from both sides.

$$509u-f\times 9u=0$$

Multiply -1 and 9 to get -9.

$$509u-9fu=0$$

Combine all terms containing u.

$$\left(509-9f\right)u=0$$

Divide 0 by 509-9f.

$$u=0$$