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    Work: Find the solution of equation x-80x÷（x+120） = 24％×（x+120） .
    Question type: Equation
    Solution:Original question:

x

−

80

x

÷

(

x

+

120

)

=

24 100

(

x

+

120

)

Multiply both sides of the equation by:

(

x

+

120

)

x

(

x

+

120

)

−

80

x

=

24 100

(

x

+

120

)

(

x

+

120

)

    Remove a bracket on the left of the equation:：

x

x

+

x

×

120

−

80

x

=

24 100

(

x

+

120

)

(

x

+

120

)

    Remove a bracket on the right of the equation:：

x

x

+

x

×

120

−

80

x

=

24 100

x

(

x

+

120

)

+

24 100

×

120

(

x

+

120

)

    The equation is reduced to :

x

x

+

x

×

120

−

80

x

=

24 100

x

(

x

+

120

)

+

144 5

(

x

+

120

)

    The equation is reduced to :

x

x

+

40

x

=

24 100

x

(

x

+

120

)

+

144 5

(

x

+

120

)

    Remove a bracket on the right of the equation:：

x

x

+

40

x

=

24 100

x

x

+

24 100

x

×

120

+

144 5

(

x

+

120

)

    The equation is reduced to :

x

x

+

40

x

=

24 100

x

x

+

144 5

x

+

144 5

(

x

+

120

)

    Remove a bracket on the right of the equation:：

x

x

+

40

x

=

24 100

x

x

+

144 5

x

+

144 5

x

+

144 5

×

120

    The equation is reduced to :

x

x

+

40

x

=

24 100

x

x

+

144 5

x

+

144 5

x

+

3456

    The equation is reduced to :

x

x

+

40

x

=

24 100

x

x

+

288 5

x

+

3456

    After the equation is converted into a general formula, there is a common factor:
    ( x - 80 )
    From
        x - 80 = 0
    it is concluded that:：
        x₁=80
    Solutions that cannot be obtained by factorization:
        x₂≈-56.842105 , keep 6 decimal places    
    There are 2 solution(s).

解程的详细方法请参阅：《方程的解法》

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