Solve 2W=-4+5/v

$$2 W = - 4 + \frac { 5 } { v }$$

Solve for W

$$W=-2+\frac{5}{2v}$$

$$v\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by v.

$$2Wv=v\left(-4\right)+5$$

The equation is in standard form.

$$2vW=5-4v$$

Divide both sides by 2v.

$$\frac{2vW}{2v}=\frac{5-4v}{2v}$$

Dividing by 2v undoes the multiplication by 2v.

$$W=\frac{5-4v}{2v}$$

Divide -4v+5 by 2v.

$$W=-2+\frac{5}{2v}$$

Solve for v

$$v=\frac{5}{2\left(W+2\right)}$$

$$W\neq -2$$

Steps for Solving Linear Equation

Variable v cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by v.

$$2Wv=v\left(-4\right)+5$$

Subtract v\left(-4\right) from both sides.

$$2Wv-v\left(-4\right)=5$$

Multiply -1 and -4 to get 4.

$$2Wv+4v=5$$

Combine all terms containing v.

$$\left(2W+4\right)v=5$$

Divide both sides by 4+2W.

$$\frac{\left(2W+4\right)v}{2W+4}=\frac{5}{2W+4}$$

Dividing by 4+2W undoes the multiplication by 4+2W.

$$v=\frac{5}{2W+4}$$

Divide 5 by 4+2W.

$$v=\frac{5}{2\left(W+2\right)}$$

Variable v cannot be equal to 0.

$$v=\frac{5}{2\left(W+2\right)}\text{, }v\neq 0$$