Solve 0.25=(V/g+frac{A{m}})

$$0.25 = ( \frac { V } { g + \frac { A } { m } } )$$

Solve for V

$$V=\frac{gm+A}{4m}$$

$$m\neq 0\text{ and }A\neq -gm\text{ and }g\neq -\frac{A}{m}$$

Steps for Solving Linear Equation

To add or subtract expressions, expand them to make their denominators the same. Multiply g times \frac{m}{m}.

$$0.25=\frac{V}{\frac{gm}{m}+\frac{A}{m}}$$

Since \frac{gm}{m} and \frac{A}{m} have the same denominator, add them by adding their numerators.

$$0.25=\frac{V}{\frac{gm+A}{m}}$$

Divide V by \frac{gm+A}{m} by multiplying V by the reciprocal of \frac{gm+A}{m}.

$$0.25=\frac{Vm}{gm+A}$$

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

$$\frac{Vm}{gm+A}=0.25$$

Multiply both sides of the equation by gm+A.

$$Vm=0.25\left(gm+A\right)$$

Use the distributive property to multiply 0.25 by gm+A.

$$Vm=0.25gm+0.25A$$

The equation is in standard form.

$$mV=\frac{gm+A}{4}$$

Divide both sides by m.

$$\frac{mV}{m}=\frac{gm+A}{4m}$$

Dividing by m undoes the multiplication by m.

$$V=\frac{gm+A}{4m}$$

Solve for A

$$A=-m\left(g-4V\right)$$

$$V\neq 0\text{ and }m\neq 0$$