Solve operatorname{Kag}=x^2/(10-x)(20-x)

$$\operatorname { Kag } = \frac { x ^ { 2 } } { ( 10 - x ) ( 20 - x ) }$$

Solve for K (complex solution)

$$\left\{\begin{matrix}K=\frac{x^{2}}{ag\left(x-20\right)\left(x-10\right)}\text{, }&x\neq 10\text{ and }x\neq 20\text{ and }g\neq 0\text{ and }a\neq 0\\K\in \mathrm{C}\text{, }&\left(g=0\text{ or }a=0\right)\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by \left(x-20\right)\left(x-10\right).

$$Kag\left(x-20\right)\left(x-10\right)=x^{2}$$

Use the distributive property to multiply Kag by x-20.

$$\left(Kagx-20Kag\right)\left(x-10\right)=x^{2}$$

Use the distributive property to multiply Kagx-20Kag by x-10 and combine like terms.

$$Kagx^{2}-30Kagx+200Kag=x^{2}$$

Combine all terms containing K.

$$\left(agx^{2}-30agx+200ag\right)K=x^{2}$$

Divide both sides by ax^{2}g-30agx+200ag.

$$\frac{\left(agx^{2}-30agx+200ag\right)K}{agx^{2}-30agx+200ag}=\frac{x^{2}}{agx^{2}-30agx+200ag}$$

Dividing by ax^{2}g-30agx+200ag undoes the multiplication by ax^{2}g-30agx+200ag.

$$K=\frac{x^{2}}{agx^{2}-30agx+200ag}$$

Divide x^{2} by ax^{2}g-30agx+200ag.

$$K=\frac{x^{2}}{ag\left(x-20\right)\left(x-10\right)}$$

Solve for a (complex solution)

$$\left\{\begin{matrix}a=\frac{x^{2}}{Kg\left(x-20\right)\left(x-10\right)}\text{, }&x\neq 10\text{ and }x\neq 20\text{ and }g\neq 0\text{ and }K\neq 0\\a\in \mathrm{C}\text{, }&\left(g=0\text{ or }K=0\right)\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by \left(x-20\right)\left(x-10\right).

$$Kag\left(x-20\right)\left(x-10\right)=x^{2}$$

Use the distributive property to multiply Kag by x-20.

$$\left(Kagx-20Kag\right)\left(x-10\right)=x^{2}$$

Use the distributive property to multiply Kagx-20Kag by x-10 and combine like terms.

$$Kagx^{2}-30Kagx+200Kag=x^{2}$$

Combine all terms containing a.

$$\left(Kgx^{2}-30Kgx+200Kg\right)a=x^{2}$$

Divide both sides by Kx^{2}g-30Kgx+200Kg.

$$\frac{\left(Kgx^{2}-30Kgx+200Kg\right)a}{Kgx^{2}-30Kgx+200Kg}=\frac{x^{2}}{Kgx^{2}-30Kgx+200Kg}$$

Dividing by Kx^{2}g-30Kgx+200Kg undoes the multiplication by Kx^{2}g-30Kgx+200Kg.

$$a=\frac{x^{2}}{Kgx^{2}-30Kgx+200Kg}$$

Divide x^{2} by Kx^{2}g-30Kgx+200Kg.

$$a=\frac{x^{2}}{Kg\left(x-20\right)\left(x-10\right)}$$

Solve for K

$$\left\{\begin{matrix}K=\frac{x^{2}}{ag\left(x-20\right)\left(x-10\right)}\text{, }&x\neq 10\text{ and }x\neq 20\text{ and }g\neq 0\text{ and }a\neq 0\\K\in \mathrm{R}\text{, }&\left(g=0\text{ or }a=0\right)\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by \left(x-20\right)\left(x-10\right).

$$Kag\left(x-20\right)\left(x-10\right)=x^{2}$$

Use the distributive property to multiply Kag by x-20.

$$\left(Kagx-20Kag\right)\left(x-10\right)=x^{2}$$

Use the distributive property to multiply Kagx-20Kag by x-10 and combine like terms.

$$Kagx^{2}-30Kagx+200Kag=x^{2}$$

Combine all terms containing K.

$$\left(agx^{2}-30agx+200ag\right)K=x^{2}$$

Divide both sides by ax^{2}g-30agx+200ag.

$$\frac{\left(agx^{2}-30agx+200ag\right)K}{agx^{2}-30agx+200ag}=\frac{x^{2}}{agx^{2}-30agx+200ag}$$

Dividing by ax^{2}g-30agx+200ag undoes the multiplication by ax^{2}g-30agx+200ag.

$$K=\frac{x^{2}}{agx^{2}-30agx+200ag}$$

Divide x^{2} by ax^{2}g-30agx+200ag.

$$K=\frac{x^{2}}{ag\left(x-20\right)\left(x-10\right)}$$

Solve for a

$$\left\{\begin{matrix}a=\frac{x^{2}}{Kg\left(x-20\right)\left(x-10\right)}\text{, }&x\neq 10\text{ and }x\neq 20\text{ and }g\neq 0\text{ and }K\neq 0\\a\in \mathrm{R}\text{, }&\left(g=0\text{ or }K=0\right)\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by \left(x-20\right)\left(x-10\right).

$$Kag\left(x-20\right)\left(x-10\right)=x^{2}$$

Use the distributive property to multiply Kag by x-20.

$$\left(Kagx-20Kag\right)\left(x-10\right)=x^{2}$$

Use the distributive property to multiply Kagx-20Kag by x-10 and combine like terms.

$$Kagx^{2}-30Kagx+200Kag=x^{2}$$

Combine all terms containing a.

$$\left(Kgx^{2}-30Kgx+200Kg\right)a=x^{2}$$

Divide both sides by Kx^{2}g-30Kgx+200Kg.

$$\frac{\left(Kgx^{2}-30Kgx+200Kg\right)a}{Kgx^{2}-30Kgx+200Kg}=\frac{x^{2}}{Kgx^{2}-30Kgx+200Kg}$$

Dividing by Kx^{2}g-30Kgx+200Kg undoes the multiplication by Kx^{2}g-30Kgx+200Kg.

$$a=\frac{x^{2}}{Kgx^{2}-30Kgx+200Kg}$$

Divide x^{2} by Kx^{2}g-30Kgx+200Kg.

$$a=\frac{x^{2}}{Kg\left(x-20\right)\left(x-10\right)}$$