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    Work: Find the solution of equation 2/x+4/（x+2） = 2 .
    Question type: Equation
    Solution:Original question:

2

÷

x

+

4

÷

(

x

+

2

)

=

2

Multiply both sides of the equation by:

x

2

+

4

÷

(

x

+

2

)

×

x

=

2

x

Multiply both sides of the equation by:

(

x

+

2

)

2

(

x

+

2

)

+

4

x

=

2

x

(

x

+

2

)

    Remove a bracket on the left of the equation:

2

x

+

2

×

2

+

4

x

=

2

x

(

x

+

2

)

    Remove a bracket on the right of the equation:：

2

x

+

2

×

2

+

4

x

=

2

x

x

+

2

x

×

2

    The equation is reduced to :

2

x

+

4

+

4

x

=

2

x

x

+

4

x

    The equation is reduced to :

6

x

+

4

=

2

x

x

+

4

x

    After the equation is converted into a general formula, it is converted into:
    ( x + 1 )( x - 2 )=0
    From
        x + 1 = 0
        x - 2 = 0
    it is concluded that:：
        x₁=-1
        x₂=2    
    There are 2 solution(s).

解一元二次方程的详细方法请参阅：《一元二次方程的解法》

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