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

The answer to x(x+5)/x = 4/5 is x=-21/5

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

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

x = - \frac{21}{5}

Decimal Notation

x = - 4.2

Solution steps

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

Simplify

x \frac{x + 5}{x} : x + 5

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

Multiply both sides by

5

5 x + 25 = 4

Move

25

to the right side

5 x = - 21

Divide both sides by

5

x = - \frac{21}{5}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{21}{5}

\frac{9}{x} = 11

\frac{6}{3 x - 1} = \frac{2 x - 7}{7}

\frac{x - 1}{x + 1} = \frac{5}{3}

\frac{5}{3} = \frac{40}{x}

\frac{x ^{2} + x - 12}{x - 3} = x + 4