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    Current location：Equations > Monovariate Equation > The history of univariate equation calculation > Answer

    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation (1-x)/(2-x) = 0.1/(0.1x-0.2)-3 .
    Question type: Equation
    Solution:Original question:
     (1 − x ) ÷ (2 − x ) =
1
10
 ÷ (
1
10
 x −
1
5
) − 3
     Multiply both sides of the equation by:(2 − x ) ,  (
1
10
 x −
1
5
)
     (1 − x )(
1
10
 x −
1
5
) =
1
10
(2 − x ) − 3(2 − x )(
1
10
 x −
1
5
)
    Remove a bracket on the left of the equation:：
     1(
1
10
 x −
1
5
) − x (
1
10
 x −
1
5
) =
1
10
(2 − x ) − 3(2 − x )(
1
10
 x −
1
5
)
    Remove a bracket on the right of the equation:：
     1(
1
10
 x −
1
5
) − x (
1
10
 x −
1
5
) =
1
10
 × 2 −
1
10
 x − 3(2 − x )(
1
10
 x −
1
5
)
    The equation is reduced to :
     1(
1
10
 x −
1
5
) − x (
1
10
 x −
1
5
) =
1
5
 −
1
10
 x − 3(2 − x )(
1
10
 x −
1
5
)
    Remove a bracket on the left of the equation:
     1 ×
1
10
 x − 1 ×
1
5
 − x (
1
10
 x −
1
5
) =
1
5
 −
1
10
 x − 3(2 − x )(
1
10
 x −
1
5
)
    Remove a bracket on the right of the equation:：
     1 ×
1
10
 x − 1 ×
1
5
 − x (
1
10
 x −
1
5
) =
1
5
 −
1
10
 x − 3 × 2(
1
10
 x −
1
5
) + 3 x (
1
10
 x −
1
5
)
    The equation is reduced to :
     
1
10
 x −
1
5
 − x (
1
10
 x −
1
5
) =
1
5
 −
1
10
 x − 6(
1
10
 x −
1
5
) + 3 x (
1
10
 x −
1
5
)
    Remove a bracket on the left of the equation:
     
1
10
 x −
1
5
 − x ×
1
10
 x + x ×
1
5
 =
1
5
 −
1
10
 x − 6(
1
10
 x −
1
5
) + 3 x (
1
10
 x −
1
5
)
    Remove a bracket on the right of the equation:：
     
1
10
 x −
1
5
 − x ×
1
10
 x + x ×
1
5
 =
1
5
 −
1
10
 x − 6 ×
1
10
 x + 6 ×
1
5
 + 3 x (
1
10
 x −
1
5
)
    The equation is reduced to :
     
1
10
 x −
1
5
 − x ×
1
10
 x + x ×
1
5
 =
1
5
 −
1
10
 x −
3
5
 x +
6
5
 + 3 x (
1
10
 x −
1
5
)
    The equation is reduced to :
     
3
10
 x −
1
5
 − x ×
1
10
 x =
7
5
 −
7
10
 x + 3 x (
1
10
 x −
1
5
)
    Remove a bracket on the right of the equation:：
     
3
10
 x −
1
5
 − x ×
1
10
 x =
7
5
 −
7
10
 x + 3 x ×
1
10
 x − 3 x ×
1
5
    The equation is reduced to :
     
3
10
 x −
1
5
 − x ×
1
10
 x =
7
5
 −
7
10
 x +
3
10
 x x −
3
5
 x
    The equation is reduced to :
     
3
10
 x −
1
5
 − x ×
1
10
 x =
7
5
 −
13
10
 x +
3
10
 x x
    This equation has no real solution!


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