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

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

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

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

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

Decimal Notation

x = - 0.5, x = - 1

Solution steps

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

Multiply both sides by

x + 2

2 x (x + 2) + 3 = x + 2

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

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

\frac{1}{x} = \frac{1}{5} + \frac{3}{2 x}

x, (f - g) (x) = \frac{( x ^{2} + 2 x - 1 )}{x}

6 - \frac{35}{x} + \frac{36}{x ^{2}} = 0

\frac{1}{x - 2} + \frac{3}{x + 3} = 6

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