Solve f(x)=3(25(2/3x)

$$f ( x ) = 3 ( 25 ( \frac { 2 } { 3 } x )$$

Solve for f (complex solution)

$$\left\{\begin{matrix}\\f=50\text{, }&\text{unconditionally}\\f\in \mathrm{C}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply 3 and 25 to get 75.

$$fx=75\times \frac{2}{3}x$$

Multiply 75 and \frac{2}{3} to get 50.

$$fx=50x$$

The equation is in standard form.

$$xf=50x$$

Divide both sides by x.

$$\frac{xf}{x}=\frac{50x}{x}$$

Dividing by x undoes the multiplication by x.

$$f=\frac{50x}{x}$$

Divide 50x by x.

$$f=50$$

Solve for x (complex solution)

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&f=50\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply 3 and 25 to get 75.

$$fx=75\times \frac{2}{3}x$$

Multiply 75 and \frac{2}{3} to get 50.

$$fx=50x$$

Subtract 50x from both sides.

$$fx-50x=0$$

Combine all terms containing x.

$$\left(f-50\right)x=0$$

Divide 0 by -50+f.

$$x=0$$

Solve for f

$$\left\{\begin{matrix}\\f=50\text{, }&\text{unconditionally}\\f\in \mathrm{R}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply 3 and 25 to get 75.

$$fx=75\times \frac{2}{3}x$$

Multiply 75 and \frac{2}{3} to get 50.

$$fx=50x$$

The equation is in standard form.

$$xf=50x$$

Divide both sides by x.

$$\frac{xf}{x}=\frac{50x}{x}$$

Dividing by x undoes the multiplication by x.

$$f=\frac{50x}{x}$$

Divide 50x by x.

$$f=50$$

Solve for x

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&f=50\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply 3 and 25 to get 75.

$$fx=75\times \frac{2}{3}x$$

Multiply 75 and \frac{2}{3} to get 50.

$$fx=50x$$

Subtract 50x from both sides.

$$fx-50x=0$$

Combine all terms containing x.

$$\left(f-50\right)x=0$$

Divide 0 by -50+f.

$$x=0$$