Solve vx=4/5v(x+15)

$$v x = \frac { 4 } { 5 } v ( x + 15 )$$

Solve for v (complex solution)

$$\left\{\begin{matrix}\\v=0\text{, }&\text{unconditionally}\\v\in \mathrm{C}\text{, }&x=60\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{4}{5}v by x+15.

$$vx=\frac{4}{5}vx+12v$$

Subtract \frac{4}{5}vx from both sides.

$$vx-\frac{4}{5}vx=12v$$

Combine vx and -\frac{4}{5}vx to get \frac{1}{5}vx.

$$\frac{1}{5}vx=12v$$

Subtract 12v from both sides.

$$\frac{1}{5}vx-12v=0$$

Combine all terms containing v.

$$\left(\frac{1}{5}x-12\right)v=0$$

The equation is in standard form.

$$\left(\frac{x}{5}-12\right)v=0$$

Divide 0 by \frac{1}{5}x-12.

$$v=0$$

Solve for x (complex solution)

$$\left\{\begin{matrix}\\x=60\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&v=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{4}{5}v by x+15.

$$vx=\frac{4}{5}vx+12v$$

Subtract \frac{4}{5}vx from both sides.

$$vx-\frac{4}{5}vx=12v$$

Combine vx and -\frac{4}{5}vx to get \frac{1}{5}vx.

$$\frac{1}{5}vx=12v$$

The equation is in standard form.

$$\frac{v}{5}x=12v$$

Divide both sides by \frac{1}{5}v.

$$\frac{5\times \frac{v}{5}x}{v}=\frac{5\times 12v}{v}$$

Dividing by \frac{1}{5}v undoes the multiplication by \frac{1}{5}v.

$$x=\frac{5\times 12v}{v}$$

Divide 12v by \frac{1}{5}v.

$$x=60$$

Solve for v

$$\left\{\begin{matrix}\\v=0\text{, }&\text{unconditionally}\\v\in \mathrm{R}\text{, }&x=60\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{4}{5}v by x+15.

$$vx=\frac{4}{5}vx+12v$$

Subtract \frac{4}{5}vx from both sides.

$$vx-\frac{4}{5}vx=12v$$

Combine vx and -\frac{4}{5}vx to get \frac{1}{5}vx.

$$\frac{1}{5}vx=12v$$

Subtract 12v from both sides.

$$\frac{1}{5}vx-12v=0$$

Combine all terms containing v.

$$\left(\frac{1}{5}x-12\right)v=0$$

The equation is in standard form.

$$\left(\frac{x}{5}-12\right)v=0$$

Divide 0 by \frac{1}{5}x-12.

$$v=0$$

Solve for x

$$\left\{\begin{matrix}\\x=60\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&v=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{4}{5}v by x+15.

$$vx=\frac{4}{5}vx+12v$$

Subtract \frac{4}{5}vx from both sides.

$$vx-\frac{4}{5}vx=12v$$

Combine vx and -\frac{4}{5}vx to get \frac{1}{5}vx.

$$\frac{1}{5}vx=12v$$

The equation is in standard form.

$$\frac{v}{5}x=12v$$

Divide both sides by \frac{1}{5}v.

$$\frac{5\times \frac{v}{5}x}{v}=\frac{5\times 12v}{v}$$

Dividing by \frac{1}{5}v undoes the multiplication by \frac{1}{5}v.

$$x=\frac{5\times 12v}{v}$$

Divide 12v by \frac{1}{5}v.

$$x=60$$