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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.
    It supports equations that contain mathematical functions.
    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 x*0.1+(x+(x*0.1))*0.09+(x*0.1+(x+(x*0.1))*0.09)*0.09 = 498.96 .
    Question type: Equation
    Solution:Original question:
      x ×
1
10
 + ( x + ( x ×
1
10
)) ×
9
100
 + ( x ×
1
10
 + ( x + ( x ×
1
10
)) ×
9
100
) ×
9
100
 =
12474
25
    Remove the bracket on the left of the equation:
     Left side of the equation =
1
10
 x + x ×
9
100
 + ( x ×
1
10
) ×
9
100
 + ( x ×
1
10
 + ( x + ( x ×
1
10
)) ×
9
100
) ×
9
100
                                             =
19
100
 x + ( x ×
1
10
) ×
9
100
 + ( x ×
1
10
 + ( x + ( x ×
1
10
)) ×
9
100
) ×
9
100
                                             =
19
100
 x + x ×
1
10
 ×
9
100
 + ( x ×
1
10
 + ( x + ( x ×
1
10
)) ×
9
100
) ×
9
100
                                             =
19
100
 x + x ×
9
1000
 + ( x ×
1
10
 + ( x + ( x ×
1
10
)) ×
9
100
) ×
9
100
                                             =
199
1000
 x + ( x ×
1
10
 + ( x + ( x ×
1
10
)) ×
9
100
) ×
9
100
                                             =
199
1000
 x + x ×
1
10
 ×
9
100
 + ( x + ( x ×
1
10
)) ×
9
100
 ×
9
100
                                             =
199
1000
 x + x ×
9
1000
 + ( x + ( x ×
1
10
)) ×
81
10000
                                             =
26
125
 x + ( x + ( x ×
1
10
)) ×
81
10000
                                             =
26
125
 x + x ×
81
10000
 + ( x ×
1
10
) ×
81
10000
                                             =
2161
10000
 x + ( x ×
1
10
) ×
81
10000
                                             =
2161
10000
 x + x ×
1
10
 ×
81
10000
                                             =
2161
10000
 x + x ×
81
100000
                                             =
21691
100000
 x
    The equation is transformed into :
     
21691
100000
 x =
12474
25

    The coefficient of the unknown number is reduced to 1 :
      x =
12474
25
 ÷
21691
100000
        =
12474
25
 ×
100000
21691
        = 12474 ×
4000
21691

    We obtained :
      x =
49896000
21691
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 2300.308884



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