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

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

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

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

x = - 3, x = \frac{3}{2}

Decimal Notation

x = - 3, x = 1.5

Solution steps

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

Multiply by LCM

3 (x - 3) + 6 x = - 2 x (x - 3)

Solve

3 (x - 3) + 6 x = - 2 x (x - 3) : x = - 3, x = \frac{3}{2}

x = - 3, x = \frac{3}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 3

Combine undefined points with solutions:

x = - 3, x = \frac{3}{2}

y, x = z - \frac{z - y}{z + y}

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

4 y + 100 + \frac{100}{y} = 8 y + 100

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

- 9 = - \frac{3}{x}

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