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On line Solution of Monovariate Equation：
    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
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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+1/4)x×(1－10%)×(1+10%)－x = 38 .
    Question type: Equation
    Solution:Original question:
     (1 + 1 ÷ 4) x (1 −
10
100
)(1 +
10
100
) − x = 38
    Remove the bracket on the left of the equation:
     Left side of the equation = 1 x (1 −
10
100
)(1 +
10
100
) + 1 ÷ 4 × x (1 −
10
100
)(1 +
10
100
) − x
                                             = 1 x (1 −
10
100
)(1 +
10
100
) +
1
4
 x (1 −
10
100
)(1 +
10
100
) − x
                                             = 1 x × 1(1 +
10
100
) − 1 x ×
10
100
(1 +
10
100
) +
1
4
 x (1 −
10
100
)(1 +
10
100
)
                                             = 1 x (1 +
10
100
) −
1
10
 x (1 +
10
100
) +
1
4
 x (1 −
10
100
)(1 +
10
100
) − x
                                             = 1 x × 1 + 1 x ×
10
100
 −
1
10
 x (1 +
10
100
) +
1
4
 x (1 −
10
100
)
                                             = 1 x +
1
10
 x −
1
10
 x (1 +
10
100
) +
1
4
 x (1 −
10
100
)(1 +
10
100
) − x
                                             =
1
10
 x −
1
10
 x (1 +
10
100
) +
1
4
 x (1 −
10
100
)(1 +
10
100
)
                                             =
1
10
 x −
1
10
 x × 1 −
1
10
 x ×
10
100
 +
1
4
 x (1 −
10
100
)(1 +
10
100
)
                                             =
1
10
 x −
1
10
 x −
1
100
 x +
1
4
 x (1 −
10
100
)(1 +
10
100
)
                                             = -
1
100
 x +
1
4
 x (1 −
10
100
)(1 +
10
100
)
                                             = -
1
100
 x +
1
4
 x × 1(1 +
10
100
) −
1
4
 x ×
10
100
(1 +
10
100
)
                                             = -
1
100
 x +
1
4
 x (1 +
10
100
) −
1
40
 x (1 +
10
100
)
                                             = -
1
100
 x +
1
4
 x × 1 +
1
4
 x ×
10
100
 −
1
40
 x (1 +
10
100
)
                                             = -
1
100
 x +
1
4
 x +
1
40
 x −
1
40
 x (1 +
10
100
)
                                             =
53
200
 x −
1
40
 x (1 +
10
100
)
                                             =
53
200
 x −
1
40
 x × 1 −
1
40
 x ×
10
100
                                             =
53
200
 x −
1
40
 x −
1
400
 x
                                             =
19
80
 x
    The equation is transformed into :
     
19
80
 x = 38

    The coefficient of the unknown number is reduced to 1 :
      x = 38 ÷
19
80
        = 38 ×
80
19
        = 2 × 80

    We obtained :
      x = 160
    This is the solution of the equation.



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