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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 0.5*14*(6+3/2n) = 72-0.5*14*(6+3/2n)-1/2*(-n)*(6-2/3n)*1/2*(10+n)*(-2/3n) .
    Question type: Equation
    Solution:Original question:
     
1
2
 × 14(6 + 3 ÷ 2 × n ) = 72 −
1
2
 × 14(6 + 3 ÷ 2 × n ) − 1 ÷ 2 × ( - n )(6 − 2 ÷ 3 × n ) × 1 ÷ 2 × (10 + n )( - 2 ÷ 3 × n )
     Left side of the equation = 7(6 + 3 ÷ 2 × n )
    The equation is transformed into :
     7(6 + 3 ÷ 2 × n ) = 72 −
1
2
 × 14(6 + 3 ÷ 2 × n ) − 1 ÷ 2 × ( - n )(6 − 2 ÷ 3 × n ) × 1 ÷ 2 × (10 + n )( - 2 ÷ 3 × n )
    Remove the bracket on the left of the equation:
     Left side of the equation = 7 × 6 + 7 × 3 ÷ 2 × n
                                             = 42 +
21
2
 n
    The equation is transformed into :
     42 +
21
2
 n = 72 −
1
2
 × 14(6 + 3 ÷ 2 × n ) − 1 ÷ 2 × ( - n )(6 − 2 ÷ 3 × n ) × 1 ÷ 2 × (10 + n )( - 2 ÷ 3 × n )
     Right side of the equation = 72 − 7(6 + 3 ÷ 2 × n ) −
1
4
( - n )(6 − 2 ÷ 3 × n )(10 + n )( - 2 ÷ 3 × n )
    The equation is transformed into :
     42 +
21
2
 n = 72 − 7(6 + 3 ÷ 2 × n ) −
1
4
( - n )(6 − 2 ÷ 3 × n )(10 + n )( - 2 ÷ 3 × n )
    Remove the bracket on the right of the equation:
     Right side of the equation = 72 − 7 × 6 − 7 × 3 ÷ 2 × n −
1
4
( - n )(6 − 2 ÷ 3 × n )(10 + n )( - 2 ÷ 3 × n )
                                               = 72 − 42 −
21
2
 n −
1
4
( - n )(6 − 2 ÷ 3 × n )(10 + n )( - 2 ÷ 3 × n )
                                               = 30 −
21
2
 n −
1
4
( - n )(6 − 2 ÷ 3 × n )(10 + n )( - 2 ÷ 3 × n )
                                               = 30 −
21
2
 n +
1
4
 n (6 − 2 ÷ 3 × n )(10 + n )( - 2 ÷ 3 × n )
                                               = 30 −
21
2
 n +
1
4
 n × 6(10 + n )( - 2 ÷ 3 × n ) −
1
4
 n × 2 ÷ 3
                                               = 30 −
21
2
 n +
3
2
 n (10 + n )( - 2 ÷ 3 × n ) −
1
6
 n n (10 + n )( - 2 ÷ 3 × n )
                                               = 30 −
21
2
 n +
3
2
 n × 10( - 2 ÷ 3 × n ) +
3
2
 n n ( - 2 ÷ 3 × n ) −
1
6
                                               = 30 −
21
2
 n + 15 n ( - 2 ÷ 3 × n ) +
3
2
 n n ( - 2 ÷ 3 × n ) −
1
6
 n
                                               = 30 −
21
2
 n − 15 n × 2 ÷ 3 × n +
3
2
 n n ( - 2 ÷ 3 × n )
                                               = 30 −
21
2
 n − 10 n n +
3
2
 n n ( - 2 ÷ 3 × n ) −
1
6
 n
                                               = 30 −
21
2
 n − 10 n n −
3
2
 n n × 2 ÷ 3 × n
                                               = 30 −
21
2
 n − 10 n n − 1 n n n −
1
6
 n
                                               = 30 −
21
2
 n − 10 n n − 1 n n n −
1
6
 n
                                               = 30 −
21
2
 n − 10 n n − 1 n n n −
5
3
 n
                                               = 30 −
21
2
 n − 10 n n − 1 n n n +
5
3
 n
                                               = 30 −
21
2
 n − 10 n n − 1 n n n +
10
9
 n
                                               = 30 −
21
2
 n − 10 n n − 1 n n n +
10
9
 n
                                               = 30 −
21
2
 n − 10 n n − 1 n n n +
10
9
 n

    The solution of the equation:
        n1≈-8.887590 , keep 6 decimal places
        n2≈9.999134 , keep 6 decimal places    
    There are 2 solution(s).

解程的详细方法请参阅：《方程的解法》


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