What is the answer to 6-1/(x+1)= 6/(x+2) ?

The answer to 6-1/(x+1)= 6/(x+2) is x=-1/2 ,x=-4/3

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6-1/(x+1)= 6/(x+2)

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

x = - \frac{1}{2}, x = - \frac{4}{3}

Decimal Notation

x = - 0.5, x = - 1.33333 \dots

Solution steps

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

Multiply by LCM

6 (x + 1) (x + 2) - (x + 2) = 6 (x + 1)

Solve

6 (x + 1) (x + 2) - (x + 2) = 6 (x + 1) : x = - \frac{1}{2}, x = - \frac{4}{3}

x = - \frac{1}{2}, x = - \frac{4}{3}

Verify Solutions

Find undefined (singularity) points:

x = - 1, x = - 2

Combine undefined points with solutions:

x = - \frac{1}{2}, x = - \frac{4}{3}

x + 2 + \frac{1}{x} = 0

\frac{1}{x} = \frac{3.55}{1.22}

12.04 = \frac{185}{F e}

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

\frac{1}{t + 1} - 0.1 = 0

What is the answer to 6-1/(x+1)= 6/(x+2) ?
The answer to 6-1/(x+1)= 6/(x+2) is x=-1/2 ,x=-4/3
Solve for x: 6-1/(x+1)= 6/(x+2)
The solution is x=-1/2 ,x=-4/3