Solve f(x)=operatorname{cog}x(3x)

$$f ( x ) = \operatorname { cog } x ( 3 x )$$

Solve for c (complex solution)

$$\left\{\begin{matrix}c=\frac{f}{3gox}\text{, }&x\neq 0\text{ and }g\neq 0\text{ and }o\neq 0\\c\in \mathrm{C}\text{, }&\left(f=0\text{ and }o=0\right)\text{ or }\left(f=0\text{ and }g=0\right)\text{ or }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply x and x to get x^{2}.

$$fx=cogx^{2}\times 3$$

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

$$cogx^{2}\times 3=fx$$

The equation is in standard form.

$$3gox^{2}c=fx$$

Divide both sides by 3ogx^{2}.

$$\frac{3gox^{2}c}{3gox^{2}}=\frac{fx}{3gox^{2}}$$

Dividing by 3ogx^{2} undoes the multiplication by 3ogx^{2}.

$$c=\frac{fx}{3gox^{2}}$$

Divide fx by 3ogx^{2}.

$$c=\frac{f}{3gox}$$

Solve for f (complex solution)

$$\left\{\begin{matrix}\\f=3cgox\text{, }&\text{unconditionally}\\f\in \mathrm{C}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply x and x to get x^{2}.

$$fx=cogx^{2}\times 3$$

The equation is in standard form.

$$xf=3cgox^{2}$$

Divide both sides by x.

$$\frac{xf}{x}=\frac{3cgox^{2}}{x}$$

Dividing by x undoes the multiplication by x.

$$f=\frac{3cgox^{2}}{x}$$

Divide 3cogx^{2} by x.

$$f=3cgox$$

Solve for c

$$\left\{\begin{matrix}c=\frac{f}{3gox}\text{, }&x\neq 0\text{ and }g\neq 0\text{ and }o\neq 0\\c\in \mathrm{R}\text{, }&\left(f=0\text{ and }o=0\right)\text{ or }\left(f=0\text{ and }g=0\right)\text{ or }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply x and x to get x^{2}.

$$fx=cogx^{2}\times 3$$

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

$$cogx^{2}\times 3=fx$$

The equation is in standard form.

$$3gox^{2}c=fx$$

Divide both sides by 3ogx^{2}.

$$\frac{3gox^{2}c}{3gox^{2}}=\frac{fx}{3gox^{2}}$$

Dividing by 3ogx^{2} undoes the multiplication by 3ogx^{2}.

$$c=\frac{fx}{3gox^{2}}$$

Divide fx by 3ogx^{2}.

$$c=\frac{f}{3gox}$$

Solve for f

$$\left\{\begin{matrix}\\f=3cgox\text{, }&\text{unconditionally}\\f\in \mathrm{R}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply x and x to get x^{2}.

$$fx=cogx^{2}\times 3$$

The equation is in standard form.

$$xf=3cgox^{2}$$

Divide both sides by x.

$$\frac{xf}{x}=\frac{3cgox^{2}}{x}$$

Dividing by x undoes the multiplication by x.

$$f=\frac{3cgox^{2}}{x}$$

Divide 3cogx^{2} by x.

$$f=3cgox$$