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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 = 1.2×（1＋8％）3＋2.5×（1＋8％）1.5＋x×（2％＋5.5％＋10％） .
    Question type: Equation
    Solution:Original question:
      x =
6
5
(1 +
8
100
) × 3 +
5
2
(1 +
8
100
) ×
3
2
 + x (
2
100
 +
11
200
 +
10
100
)
     Right side of the equation =
18
5
(1 +
8
100
) +
15
4
(1 +
8
100
) + x (
2
100
 +
11
200
 +
10
100
)
    The equation is transformed into :
      x =
18
5
(1 +
8
100
) +
15
4
(1 +
8
100
) + x (
2
100
 +
11
200
 +
10
100
)
    Remove the bracket on the right of the equation:
     Right side of the equation =
18
5
 × 1 +
18
5
 ×
8
100
 +
15
4
(1 +
8
100
) + x (
2
100
 +
11
200
 +
10
100
)
                                               =
18
5
 +
36
125
 +
15
4
(1 +
8
100
) + x (
2
100
 +
11
200
 +
10
100
)
                                               =
486
125
 +
15
4
(1 +
8
100
) + x (
2
100
 +
11
200
 +
10
100
)
                                               =
486
125
 +
15
4
 × 1 +
15
4
 ×
8
100
 + x (
2
100
 +
11
200
 +
10
100
)
                                               =
486
125
 +
15
4
 +
3
10
 + x (
2
100
 +
11
200
 +
10
100
)
                                               =
3969
500
 + x (
2
100
 +
11
200
 +
10
100
)
                                               =
3969
500
 + x ×
2
100
 + x ×
11
200
 + x ×
10
100
                                               =
3969
500
 +
7
40
 x
    The equation is transformed into :
      x =
3969
500
 +
7
40
 x

    Transposition :
      x −
7
40
 x =
3969
500

    Combine the items on the left of the equation:
     
33
40
 x =
3969
500

    The coefficient of the unknown number is reduced to 1 :
      x =
3969
500
 ÷
33
40
        =
3969
500
 ×
40
33
        =
1323
25
 ×
2
11

    We obtained :
      x =
2646
275
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 9.621818



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