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

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

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4/((x+1))= x/5

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

x = 4, x = - 5

Solution steps

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

Cross multiply

20 = (x + 1) x

Solve

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

x = 4, x = - 5

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = 4, x = - 5

4 = \frac{x + 2}{x - 2}

\frac{1}{x} + \frac{1}{x ^{2}} = 0

\frac{2}{3 x} = 10

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

\frac{2}{3 x} = 18