What is the answer to x+4=(x-2)/x ?

The answer to x+4=(x-2)/x is x=-1,x=-2

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x+4=(x-2)/x

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

x = - 1, x = - 2

Solution steps

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

Multiply both sides by

x

x^{2} + 4 x = x - 2

Solve

x^{2} + 4 x = x - 2 : x = - 1, x = - 2

x = - 1, x = - 2

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 1, x = - 2

a + \frac{1}{a} = 3

\frac{p + 10}{p - 7} = \frac{8}{9}

\frac{2 x}{x + 1} + \frac{5}{2 x} = 2

\frac{4 x + 2}{x - 9} = \frac{3}{5}

x + 2 = \frac{4}{x - 1}