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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(x+3)+0.5(x+3)(x+1)-1/14*(x+3)(x+1)x = 2 .
    Question type: Equation
    Solution:Original question:
     
1
2
( x + 3) +
1
2
( x + 3)( x + 1) − 1 ÷ 14 × ( x + 3)( x + 1) x = 2
     Left side of the equation =
1
2
( x + 3) +
1
2
( x + 3)( x + 1) −
1
14
( x + 3)( x + 1) x
    The equation is transformed into :
     
1
2
( x + 3) +
1
2
( x + 3)( x + 1) −
1
14
( x + 3)( x + 1) x = 2
    Remove the bracket on the left of the equation:
     Left side of the equation =
1
2
 x +
1
2
 × 3 +
1
2
( x + 3)( x + 1) −
1
14
( x + 3)( x + 1) x
                                             =
1
2
 x +
3
2
 +
1
2
( x + 3)( x + 1) −
1
14
( x + 3)( x + 1) x
                                             =
1
2
 x +
3
2
 +
1
2
 x ( x + 1) +
1
2
 × 3( x + 1) −
1
14
( x + 3)( x + 1)
                                             =
1
2
 x +
3
2
 +
1
2
 x ( x + 1) +
3
2
( x + 1) −
1
14
( x + 3)( x + 1) x
                                             =
1
2
 x +
3
2
 +
1
2
 x x +
1
2
 x × 1 +
3
2
( x + 1) −
1
14
                                             =
1
2
 x +
3
2
 +
1
2
 x x +
1
2
 x +
3
2
( x + 1) −
1
14
( x + 3)
                                             = 1 x +
3
2
 +
1
2
 x x +
3
2
( x + 1) −
1
14
( x + 3)( x + 1) x
                                             = 1 x +
3
2
 +
1
2
 x x +
3
2
 x +
3
2
 × 1 −
1
14
( x + 3)
                                             = 1 x +
3
2
 +
1
2
 x x +
3
2
 x +
3
2
 −
1
14
( x + 3)( x + 1)
                                             =
5
2
 x + 3 +
1
2
 x x −
1
14
( x + 3)( x + 1) x
                                             =
5
2
 x + 3 +
1
2
 x x −
1
14
 x ( x + 1) x −
1
14
 × 3
                                             =
5
2
 x + 3 +
1
2
 x x −
1
14
 x ( x + 1) x −
3
14
( x + 1)
                                             =
5
2
 x + 3 +
1
2
 x x −
1
14
 x x x −
1
14
 x
                                             =
5
2
 x + 3 +
1
2
 x x −
1
14
 x x x −
1
14
 x
                                             =
5
2
 x + 3 +
1
2
 x x −
1
14
 x x x −
1
14
 x
                                             =
5
2
 x + 3 +
1
2
 x x −
1
14
 x x x −
1
14
 x
                                             =
16
7
 x + 3 +
1
2
 x x −
1
14
 x x x −
1
14
 x
    The equation is transformed into :
     
16
7
 x + 3 +
1
2
 x x −
1
14
 x x x −
1
14
 x = 2

    The solution of the equation:
        x1≈-4.049093 , keep 6 decimal places
        x2≈-0.460424 , keep 6 decimal places
        x3≈7.509518 , 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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