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    Work: Find the solution of equation (0.000418+0.85856*x)/(1+0.0851*x) = 0.79184 .
    Question type: Equation
    Solution:Original question:

(

209 500000

+

2683 3125

x

)

÷

(

1

+

851 10000

x

)

=

4949 6250

Multiply both sides of the equation by:

(

1

+

851 10000

x

)

(

209 500000

+

2683 3125

x

)

=

4949 6250

(

1

+

851 10000

x

)

    Remove a bracket on the left of the equation:：

209 500000

+

2683 3125

x

=

4949 6250

(

1

+

851 10000

x

)

    Remove a bracket on the right of the equation:：

209 500000

+

2683 3125

x

=

4949 6250

×

1

+

4949 6250

×

851 10000

x

    The equation is reduced to :

209 500000

+

2683 3125

x

=

4949 6250

+

4211599 62500000

x

    Transposition :

2683 3125

x

−

4211599 62500000

x

=

4949 6250

−

209 500000

    After the equation is converted into a general formula, there is a common factor:
    ( x - 1 )
    From
        x - 1 = 0
    it is concluded that:：

x1=1	, it is the incremental root of the eqution.

    Solutions that cannot be obtained by factorization:
        x₂≈-11.750881 , keep 6 decimal places    
    There are 2 solution(s).
    There is(are) 1 additive root(s) and 1 real solutions.(Note:additive root, generated by computer, but not suitable for this equation.)


解程的详细方法请参阅：《方程的解法》

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