How to solve 1/f = 1/v + 1/v

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve 1/f = 1/v + 1/v | Equatix

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Question

$$\frac{1}{f}=\frac{1}{v}+\frac{1}{v}$$

Solve for f

$f=\frac{v}{2}$
$v\neq 0$

Steps for Solving Linear Equation

Variable $f$ cannot be equal to $0$ since division by zero is not defined. Multiply both sides of the equation by $fv$, the least common multiple of $f,v$.

$$v=f+f$$

Combine $f$ and $f$ to get $2f$.

$$v=2f$$

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

$$2f=v$$

Divide both sides by $2$.

$$\frac{2f}{2}=\frac{v}{2}$$

Dividing by $2$ undoes the multiplication by $2$.

$$f=\frac{v}{2}$$

Variable $f$ cannot be equal to $0$.

$$f=\frac{v}{2}\text{, }f\neq 0$$

Show Solution

Solve for v

$v=2f$
$f\neq 0$

Solution Steps

Variable $v$ cannot be equal to $0$ since division by zero is not defined. Multiply both sides of the equation by $fv$, the least common multiple of $f,v$.