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

The answer to 3/(2x+3)+1/(x-1)=1 is x=(2+sqrt(10))/2 ,x=(2-sqrt(10))/2

Solve for x: 3/(2x+3)+1/(x-1)=1

The solution is x=(2+sqrt(10))/2 ,x=(2-sqrt(10))/2

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

x = \frac{2 + 10}{2}, x = \frac{2 - 10}{2}

Solution steps

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

Multiply by LCM

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

Solve

3 (x - 1) + 2 x + 3 = (x - 1) (2 x + 3) : x = \frac{2 + 10}{2}, x = \frac{2 - 10}{2}

x = \frac{2 + 10}{2}, x = \frac{2 - 10}{2}

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

x = \frac{2 + 10}{2}, x = \frac{2 - 10}{2}

\frac{18.2}{j} = \frac{4}{16}

\frac{9}{5 x} = \frac{x}{20}

2 x + 13200 x^{- 1} = 0

\frac{x ^{2}}{x - 2} = 0

- \frac{3}{k - 4} = \frac{- 18}{5 k}

What is the answer to 3/(2x+3)+1/(x-1)=1 ?
The answer to 3/(2x+3)+1/(x-1)=1 is x=(2+sqrt(10))/2 ,x=(2-sqrt(10))/2
Solve for x: 3/(2x+3)+1/(x-1)=1
The solution is x=(2+sqrt(10))/2 ,x=(2-sqrt(10))/2