What is the answer to 1/((x+2))+1/x = 3/4 ?

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

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1/((x+2))+1/x = 3/4

\frac{1}{( x + 2 )} + \frac{1}{x} = \frac{3}{4}

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

Decimal Notation

x = 2, x = - 1.33333 \dots

Solution steps

\frac{1}{( x + 2 )} + \frac{1}{x} = \frac{3}{4}

Multiply by LCM

4 x + 4 (x + 2) = 3 x (x + 2)

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = 0

Combine undefined points with solutions:

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

\frac{3.5}{x} = \frac{10.5}{6}

x \cdot x^{- 3} = \frac{27}{64}

(x + 2) \cdot (\frac{100}{x - 15}) = 100

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

\frac{- 3}{5 ( \frac{1}{3} x - 2 )} = \frac{2}{7} x

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