What is the answer to x/5 = 1/(x+4) ?

The answer to x/5 = 1/(x+4) is x=1,x=-5

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x/5 = 1/(x+4)

\frac{x}{5} = \frac{1}{x + 4}

x = 1, x = - 5

Solution steps

\frac{x}{5} = \frac{1}{x + 4}

Cross multiply

x (x + 4) = 5

Solve

x (x + 4) = 5 : x = 1, x = - 5

x = 1, x = - 5

Verify Solutions

Find undefined (singularity) points:

x = - 4

Combine undefined points with solutions:

x = 1, x = - 5

6 x - \frac{48}{x ^{2}} = 0

30 = \frac{- 1 9 ^{2}}{4 x - 20}

y, \frac{b}{y} + 19 = x

\frac{a - c}{a - x} = m

w = \frac{5}{( 3 w ^{2} + 1 ) ^{2}}