Solve V=L*(1-d)V=

$$V = L \times ( 1 - d ) V =$$

Solve for L

$$\left\{\begin{matrix}L=\frac{1}{1-d}\text{, }&d\neq 1\\L\in \mathrm{R}\text{, }&V=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply L by 1-d.

$$V=\left(L-Ld\right)V$$

Use the distributive property to multiply L-Ld by V.

$$V=LV-LdV$$

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

$$LV-LdV=V$$

Combine all terms containing L.

$$\left(V-dV\right)L=V$$

The equation is in standard form.

$$\left(V-Vd\right)L=V$$

Divide both sides by V-dV.

$$\frac{\left(V-Vd\right)L}{V-Vd}=\frac{V}{V-Vd}$$

Dividing by V-dV undoes the multiplication by V-dV.

$$L=\frac{V}{V-Vd}$$

Divide V by V-dV.

$$L=\frac{1}{1-d}$$

Solve for V

$$\left\{\begin{matrix}\\V=0\text{, }&\text{unconditionally}\\V\in \mathrm{R}\text{, }&L=-\frac{1}{d-1}\text{ and }d\neq 1\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply L by 1-d.

$$V=\left(L-Ld\right)V$$

Use the distributive property to multiply L-Ld by V.

$$V=LV-LdV$$

Subtract LV from both sides.

$$V-LV=-LdV$$

Add LdV to both sides.

$$V-LV+LdV=0$$

Combine all terms containing V.

$$\left(1-L+Ld\right)V=0$$

The equation is in standard form.

$$\left(Ld-L+1\right)V=0$$

Divide 0 by Ld-L+1.

$$V=0$$