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

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

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

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

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

Decimal Notation

x = - 2, x = 0.5

Solution steps

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

Multiply by LCM

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

Solve

3 x + 2 (x - 1) = - 2 x (x - 1) : x = - 2, x = \frac{1}{2}

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

Verify Solutions

Find undefined (singularity) points:

x = 1, x = 0

Combine undefined points with solutions:

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

4.5 \cdot 1 0^{- 7} = \frac{50}{x}

\frac{1 + 1}{2 ( 4 x - 6 )} = - 2

x, 1 = \frac{y - x}{y + x}

\frac{3}{5} = \frac{30}{x}

\frac{3 + 1}{x + 1} = \frac{4 x}{x + 1}

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