Solve operatorname{cog}(x^2-16)=1

$$\operatorname { cog } ( x ^ { 2 } - 16 ) = 1$$

Solve for c (complex solution)

$$c=\frac{1}{go\left(x^{2}-16\right)}$$

$$x\neq 4\text{ and }x\neq -4\text{ and }g\neq 0\text{ and }o\neq 0$$

Steps for Solving Linear Equation

Use the distributive property to multiply cog by x^{2}-16.

$$cogx^{2}-16cog=1$$

Combine all terms containing c.

$$\left(ogx^{2}-16og\right)c=1$$

The equation is in standard form.

$$\left(gox^{2}-16go\right)c=1$$

Divide both sides by ogx^{2}-16go.

$$\frac{\left(gox^{2}-16go\right)c}{gox^{2}-16go}=\frac{1}{gox^{2}-16go}$$

Dividing by ogx^{2}-16go undoes the multiplication by ogx^{2}-16go.

$$c=\frac{1}{gox^{2}-16go}$$

Divide 1 by ogx^{2}-16go.

$$c=\frac{1}{go\left(x^{2}-16\right)}$$

Solve for g (complex solution)

$$g=\frac{1}{co\left(x^{2}-16\right)}$$

$$x\neq 4\text{ and }x\neq -4\text{ and }o\neq 0\text{ and }c\neq 0$$

Steps for Solving Linear Equation

Use the distributive property to multiply cog by x^{2}-16.

$$cogx^{2}-16cog=1$$

Combine all terms containing g.

$$\left(cox^{2}-16co\right)g=1$$

Divide both sides by -16co+cox^{2}.

$$\frac{\left(cox^{2}-16co\right)g}{cox^{2}-16co}=\frac{1}{cox^{2}-16co}$$

Dividing by -16co+cox^{2} undoes the multiplication by -16co+cox^{2}.

$$g=\frac{1}{cox^{2}-16co}$$

Divide 1 by -16co+cox^{2}.

$$g=\frac{1}{co\left(x^{2}-16\right)}$$

Solve for c

$$c=\frac{1}{go\left(x^{2}-16\right)}$$

$$g\neq 0\text{ and }o\neq 0\text{ and }|x|\neq 4$$

Steps for Solving Linear Equation

Use the distributive property to multiply cog by x^{2}-16.

$$cogx^{2}-16cog=1$$

Combine all terms containing c.

$$\left(ogx^{2}-16og\right)c=1$$

The equation is in standard form.

$$\left(gox^{2}-16go\right)c=1$$

Divide both sides by ogx^{2}-16go.

$$\frac{\left(gox^{2}-16go\right)c}{gox^{2}-16go}=\frac{1}{gox^{2}-16go}$$

Dividing by ogx^{2}-16go undoes the multiplication by ogx^{2}-16go.

$$c=\frac{1}{gox^{2}-16go}$$

Divide 1 by ogx^{2}-16go.

$$c=\frac{1}{go\left(x^{2}-16\right)}$$

Solve for g

$$g=\frac{1}{co\left(x^{2}-16\right)}$$

$$o\neq 0\text{ and }c\neq 0\text{ and }|x|\neq 4$$

Steps for Solving Linear Equation

Use the distributive property to multiply cog by x^{2}-16.

$$cogx^{2}-16cog=1$$

Combine all terms containing g.

$$\left(cox^{2}-16co\right)g=1$$

Divide both sides by -16co+cox^{2}.

$$\frac{\left(cox^{2}-16co\right)g}{cox^{2}-16co}=\frac{1}{cox^{2}-16co}$$

Dividing by -16co+cox^{2} undoes the multiplication by -16co+cox^{2}.

$$g=\frac{1}{cox^{2}-16co}$$

Divide 1 by -16co+cox^{2}.

$$g=\frac{1}{co\left(x^{2}-16\right)}$$