Solve frac{V_{a}+25}{5}+Va/25=0

$$\frac { V _ { a } + 25 } { 5 } + \frac { V a } { 25 } = 0$$

Solve for V

$$\left\{\begin{matrix}V=-\frac{5\left(V_{a}+25\right)}{a}\text{, }&a\neq 0\\V\in \mathrm{R}\text{, }&V_{a}=-25\text{ and }a=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 25, the least common multiple of 5,25.

$$5\left(V_{a}+25\right)+Va=0$$

Use the distributive property to multiply 5 by V_{a}+25.

$$5V_{a}+125+Va=0$$

Subtract 5V_{a} from both sides. Anything subtracted from zero gives its negation.

$$125+Va=-5V_{a}$$

Subtract 125 from both sides.

$$Va=-5V_{a}-125$$

The equation is in standard form.

$$aV=-5V_{a}-125$$

Divide both sides by a.

$$\frac{aV}{a}=\frac{-5V_{a}-125}{a}$$

Dividing by a undoes the multiplication by a.

$$V=\frac{-5V_{a}-125}{a}$$

Divide -5V_{a}-125 by a.

$$V=-\frac{5\left(V_{a}+25\right)}{a}$$

Solve for V_a

$$V_{a}=-\frac{Va}{5}-25$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 25, the least common multiple of 5,25.

$$5\left(V_{a}+25\right)+Va=0$$

Use the distributive property to multiply 5 by V_{a}+25.

$$5V_{a}+125+Va=0$$

Subtract 125 from both sides. Anything subtracted from zero gives its negation.

$$5V_{a}+Va=-125$$

Subtract Va from both sides.

$$5V_{a}=-125-Va$$

The equation is in standard form.

$$5V_{a}=-Va-125$$

Divide both sides by 5.

$$\frac{5V_{a}}{5}=\frac{-Va-125}{5}$$

Dividing by 5 undoes the multiplication by 5.

$$V_{a}=\frac{-Va-125}{5}$$

Divide -125-Va by 5.

$$V_{a}=-\frac{Va}{5}-25$$