Solve 15*4+xy/4+x=30mph

$$\frac { 15 \cdot 4 + x y } { 4 + x } = 30 m p h$$

Solve for h

$$\left\{\begin{matrix}h=\frac{xy+60}{30mp\left(x+4\right)}\text{, }&x\neq -4\text{ and }p\neq 0\text{ and }m\neq 0\\h\in \mathrm{R}\text{, }&x=-\frac{60}{y}\text{ and }y\neq 0\text{ and }\left(p=0\text{ or }m=0\right)\text{ and }y\neq 15\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by x+4.

$$15\times 4+xy=30mph\left(x+4\right)$$

Multiply 15 and 4 to get 60.

$$60+xy=30mph\left(x+4\right)$$

Use the distributive property to multiply 30mph by x+4.

$$60+xy=30mphx+120pmh$$

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

$$30mphx+120pmh=60+xy$$

Combine all terms containing h.

$$\left(30mpx+120pm\right)h=60+xy$$

The equation is in standard form.

$$\left(30mpx+120mp\right)h=xy+60$$

Divide both sides by 30xmp+120pm.

$$\frac{\left(30mpx+120mp\right)h}{30mpx+120mp}=\frac{xy+60}{30mpx+120mp}$$

Dividing by 30xmp+120pm undoes the multiplication by 30xmp+120pm.

$$h=\frac{xy+60}{30mpx+120mp}$$

Divide 60+xy by 30xmp+120pm.

$$h=\frac{xy+60}{30mp\left(x+4\right)}$$

Solve for m

$$\left\{\begin{matrix}m=\frac{xy+60}{30hp\left(x+4\right)}\text{, }&x\neq -4\text{ and }h\neq 0\text{ and }p\neq 0\\m\in \mathrm{R}\text{, }&x=-\frac{60}{y}\text{ and }y\neq 0\text{ and }\left(h=0\text{ or }p=0\right)\text{ and }y\neq 15\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by x+4.

$$15\times 4+xy=30mph\left(x+4\right)$$

Multiply 15 and 4 to get 60.

$$60+xy=30mph\left(x+4\right)$$

Use the distributive property to multiply 30mph by x+4.

$$60+xy=30mphx+120pmh$$

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

$$30mphx+120pmh=60+xy$$

Combine all terms containing m.

$$\left(30phx+120ph\right)m=60+xy$$

The equation is in standard form.

$$\left(30hpx+120hp\right)m=xy+60$$

Divide both sides by 30xph+120hp.

$$\frac{\left(30hpx+120hp\right)m}{30hpx+120hp}=\frac{xy+60}{30hpx+120hp}$$

Dividing by 30xph+120hp undoes the multiplication by 30xph+120hp.

$$m=\frac{xy+60}{30hpx+120hp}$$

Divide 60+xy by 30xph+120hp.

$$m=\frac{xy+60}{30hp\left(x+4\right)}$$