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}

Simplify

\frac{( x - 2 )}{x} : \frac{x - 2}{x}

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

\frac{( x ^{3} - x )}{x ^{2} - x} = 17

c = \frac{[ x + 0.3 ( 500 ) ]}{x + 500}

\frac{x}{9 x ^{2}} = 81

\frac{3}{x + 2} + \frac{2 x + 3}{x} = 6

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