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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 （9.7-2*x)*((30.3+2*x)*(12.1+2*x)-229.98) = 1224.4 .
    Question type: Equation
    Solution:Original question:
     (
97
10
 − 2 x )((
303
10
 + 2 x )(
121
10
 + 2 x ) −
11499
50
) =
6122
5
    Remove the bracket on the left of the equation:
     Left side of the equation =
97
10
((
303
10
 + 2 x )(
121
10
 + 2 x ) −
11499
50
) − 2 x ((
303
10
 + 2 x )(
121
10
 + 2 x ) −
11499
50
)
                                             =
97
10
(
303
10
 + 2 x )(
121
10
 + 2 x ) −
97
10
 ×
11499
50
 − 2 x ((
303
10
 + 2 x )(
121
10
 + 2 x ) −
11499
50
)
                                             =
97
10
(
303
10
 + 2 x )(
121
10
 + 2 x ) −
1115403
500
 − 2 x ((
303
10
 + 2 x )(
121
10
 + 2 x ) −
11499
50
)
                                             =
97
10
 ×
303
10
(
121
10
 + 2 x ) +
97
10
 × 2 x (
121
10
 + 2 x ) −
1115403
500
 − 2 x ((
303
10
 + 2 x )(
121
10
 + 2 x ) −
11499
50
)
                                             =
29391
100
(
121
10
 + 2 x ) +
97
5
 x (
121
10
 + 2 x ) −
1115403
500
 − 2 x ((
303
10
 + 2 x )(
121
10
 + 2 x ) −
11499
50
)
                                             =
29391
100
 ×
121
10
 +
29391
100
 × 2 x +
97
5
 x (
121
10
 + 2 x ) −
1115403
500
 − 2 x ((
303
10
 + 2 x )(
121
10
 + 2 x ) −
11499
50
)
                                             =
3556311
1000
 +
29391
50
 x +
97
5
 x (
121
10
 + 2 x ) −
1115403
500
 − 2 x ((
303
10
 + 2 x )(
121
10
 + 2 x ) −
11499
50
)
                                             =
265101
200
 +
29391
50
 x +
97
5
 x (
121
10
 + 2 x ) − 2 x ((
303
10
 + 2 x )(
121
10
 + 2 x ) −
11499
50
)
                                             =
265101
200
 +
29391
50
 x +
97
5
 x ×
121
10
 +
97
5
 x × 2 x − 2 x
                                             =
265101
200
 +
29391
50
 x +
11737
50
 x +
194
5
 x x − 2 x ((
303
10
 + 2 x )(
121
10
 + 2 x ) −
11499
50
)
                                             =
265101
200
 +
20564
25
 x +
194
5
 x x − 2 x ((
303
10
 + 2 x )(
121
10
 + 2 x ) −
11499
50
)
                                             =
265101
200
 +
20564
25
 x +
194
5
 x x − 2 x (
303
10
 + 2 x )(
121
10
 + 2 x ) + 2 x
                                             =
265101
200
 +
20564
25
 x +
194
5
 x x − 2 x (
303
10
 + 2 x )(
121
10
 + 2 x ) +
11499
25
 x
                                             =
265101
200
 +
32063
25
 x +
194
5
 x x − 2 x (
303
10
 + 2 x )(
121
10
 + 2 x )
                                             =
265101
200
 +
32063
25
 x +
194
5
 x x − 2 x ×
303
10
(
121
10
 + 2 x ) − 2 x
                                             =
265101
200
 +
32063
25
 x +
194
5
 x x −
303
5
 x (
121
10
 + 2 x ) − 4 x x
                                             =
265101
200
 +
32063
25
 x +
194
5
 x x −
303
5
 x ×
121
10
 −
303
5
 x × 2
                                             =
265101
200
 +
32063
25
 x +
194
5
 x x −
36663
50
 x −
606
5
 x x − 4
                                             =
265101
200
 +
27463
50
 x +
194
5
 x x −
606
5
 x x − 4 x x
                                             =
265101
200
 +
27463
50
 x +
194
5
 x x −
606
5
 x x − 4 x x
                                             =
265101
200
 +
27463
50
 x +
194
5
 x x −
606
5
 x x −
242
5
 x x
    The equation is transformed into :
     
265101
200
 +
27463
50
 x +
194
5
 x x −
606
5
 x x −
242
5
 x x =
6122
5

    The solution of the equation:
        x1≈-19.787469 , keep 6 decimal places
        x2≈-0.176718 , keep 6 decimal places
        x3≈3.614187 , keep 6 decimal places    
    There are 3 solution(s).

解程的详细方法请参阅：《方程的解法》


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