What is the answer to 2/(x-3)+x/2 =-1/2 ?

The answer to 2/(x-3)+x/2 =-1/2 is x=1

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2/(x-3)+x/2 =-1/2

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

x = 1

Solution steps

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

Multiply by LCM

4 + x (x - 3) = - (x - 3)

Solve

4 + x (x - 3) = - (x - 3) : x = 1

x = 1

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = 1

0 = 6 x^{2} - \frac{2}{x ^{2}} + \frac{13}{2}

\frac{4 x ^{2} - 3 x + 5}{x ^{2} - 2 x + 13} = 2

x + \frac{1}{x} = \frac{6 5}{5}

5 x - \frac{1}{x} = 4

4 x - \frac{36}{x} = 0

What is the answer to 2/(x-3)+x/2 =-1/2 ?
The answer to 2/(x-3)+x/2 =-1/2 is x=1
Solve for x: 2/(x-3)+x/2 =-1/2
The solution is x=1