What is the answer to solvefor u, 1/f =-1/u-1/v ?

The answer to solvefor u, 1/f =-1/u-1/v is u=-(vf)/(v+f);\quad f\ne-v

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solvefor u, 1/f =-1/u-1/v

solve for

u, \frac{1}{f} = - \frac{1}{u} - \frac{1}{v}

u = - \frac{v f}{v + f}; f \neq = - v

Solution steps

\frac{1}{f} = - \frac{1}{u} - \frac{1}{v}

Multiply by LCM

uv = - v f - u f

Move

u f

to the left side

uv + u f = - v f

Factor

uv + u f : u (v + f)

u (v + f) = - v f

Divide both sides by

v + f; f \neq = - v

u = - \frac{v f}{v + f}; f \neq = - v

\frac{( x + 1 )}{2} + \frac{2}{x} + 1 = \frac{( x + 1 )}{3} + \frac{3}{( x + 1 )} - \frac{5}{6}

\frac{2 ( 6 - x )}{( x - 5 )} = \frac{1}{( x - 5 ) + 6}

\frac{lo g _{10} ( 1 )}{2 ( x + 1 )} = - 1

z, w = \frac{( 4 z - 5 )}{( 2 - z )}

x, f x = \frac{ln ( 1 )}{x}

What is the answer to solvefor u, 1/f =-1/u-1/v ?
The answer to solvefor u, 1/f =-1/u-1/v is u=-(vf)/(v+f);\quad f\ne-v