What is the answer to 2/x-9/(x-4)+2=0 ?

The answer to 2/x-9/(x-4)+2=0 is x=8,x=-1/2

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2/x-9/(x-4)+2=0

\frac{2}{x} - \frac{9}{x - 4} + 2 = 0

x = 8, x = - \frac{1}{2}

Decimal Notation

x = 8, x = - 0.5

Solution steps

\frac{2}{x} - \frac{9}{x - 4} + 2 = 0

Multiply by LCM

2 (x - 4) - 9 x + 2 x (x - 4) = 0

Solve

2 (x - 4) - 9 x + 2 x (x - 4) = 0 : x = 8, x = - \frac{1}{2}

x = 8, x = - \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 4

Combine undefined points with solutions:

x = 8, x = - \frac{1}{2}

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

\frac{8}{y - 2} = 2

\frac{1}{x - 1} - 3 = (x - 1)^{3} - 3

\frac{12}{x + 1} = \frac{9}{x - 6}

- \frac{3}{x} + \frac{3}{8 x} = 21

What is the answer to 2/x-9/(x-4)+2=0 ?
The answer to 2/x-9/(x-4)+2=0 is x=8,x=-1/2
Solve for x: 2/x-9/(x-4)+2=0
The solution is x=8,x=-1/2