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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 （7.7-2*x)*((24+2*x)*(9.6+2*x)-144.76) = 611.5 .
    Question type: Equation
    Solution:Original question:
     (
77
10
 − 2 x )((24 + 2 x )(
48
5
 + 2 x ) −
3619
25
) =
1223
2
    Remove the bracket on the left of the equation:
     Left side of the equation =
77
10
((24 + 2 x )(
48
5
 + 2 x ) −
3619
25
) − 2 x ((24 + 2 x )(
48
5
 + 2 x ) −
3619
25
)
                                             =
77
10
(24 + 2 x )(
48
5
 + 2 x ) −
77
10
 ×
3619
25
 − 2 x ((24 + 2 x )(
48
5
 + 2 x ) −
3619
25
)
                                             =
77
10
(24 + 2 x )(
48
5
 + 2 x ) −
278663
250
 − 2 x ((24 + 2 x )(
48
5
 + 2 x ) −
3619
25
)
                                             =
77
10
 × 24(
48
5
 + 2 x ) +
77
10
 × 2 x (
48
5
 + 2 x ) −
278663
250
 − 2 x ((24 + 2 x )(
48
5
 + 2 x ) −
3619
25
)
                                             =
924
5
(
48
5
 + 2 x ) +
77
5
 x (
48
5
 + 2 x ) −
278663
250
 − 2 x ((24 + 2 x )(
48
5
 + 2 x ) −
3619
25
)
                                             =
924
5
 ×
48
5
 +
924
5
 × 2 x +
77
5
 x (
48
5
 + 2 x ) −
278663
250
 − 2 x ((24 + 2 x )(
48
5
 + 2 x ) −
3619
25
)
                                             =
44352
25
 +
1848
5
 x +
77
5
 x (
48
5
 + 2 x ) −
278663
250
 − 2 x ((24 + 2 x )(
48
5
 + 2 x ) −
3619
25
)
                                             =
164857
250
 +
1848
5
 x +
77
5
 x (
48
5
 + 2 x ) − 2 x ((24 + 2 x )(
48
5
 + 2 x ) −
3619
25
)
                                             =
164857
250
 +
1848
5
 x +
77
5
 x ×
48
5
 +
77
5
 x × 2 x − 2 x
                                             =
164857
250
 +
1848
5
 x +
3696
25
 x +
154
5
 x x − 2 x ((24 + 2 x )(
48
5
 + 2 x ) −
3619
25
)
                                             =
164857
250
 +
12936
25
 x +
154
5
 x x − 2 x ((24 + 2 x )(
48
5
 + 2 x ) −
3619
25
)
                                             =
164857
250
 +
12936
25
 x +
154
5
 x x − 2 x (24 + 2 x )(
48
5
 + 2 x ) + 2 x
                                             =
164857
250
 +
12936
25
 x +
154
5
 x x − 2 x (24 + 2 x )(
48
5
 + 2 x ) +
7238
25
 x
                                             =
164857
250
 +
20174
25
 x +
154
5
 x x − 2 x (24 + 2 x )(
48
5
 + 2 x )
                                             =
164857
250
 +
20174
25
 x +
154
5
 x x − 2 x × 24(
48
5
 + 2 x ) − 2 x
                                             =
164857
250
 +
20174
25
 x +
154
5
 x x − 48 x (
48
5
 + 2 x ) − 4 x x
                                             =
164857
250
 +
20174
25
 x +
154
5
 x x − 48 x ×
48
5
 − 48 x × 2
                                             =
164857
250
 +
20174
25
 x +
154
5
 x x −
2304
5
 x − 96 x x − 4
                                             =
164857
250
 +
8654
25
 x +
154
5
 x x − 96 x x − 4 x x
                                             =
164857
250
 +
8654
25
 x +
154
5
 x x − 96 x x − 4 x x
                                             =
164857
250
 +
8654
25
 x +
154
5
 x x − 96 x x −
192
5
 x x
    The equation is transformed into :
     
164857
250
 +
8654
25
 x +
154
5
 x x − 96 x x −
192
5
 x x =
1223
2

    The solution of the equation:
        x1≈-15.684433 , keep 6 decimal places
        x2≈-0.133201 , keep 6 decimal places
        x3≈2.867634 , 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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