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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 21.57+7.65+86.14+97.15+((2*35.71+11.5*(x+1.8))*(x+1.8)/2) = (85.35*2+38.21x)*x/2 .
    Question type: Equation
    Solution:Original question:
     
2157
100
 +
153
20
 +
4307
50
 +
1943
20
 + ((2 ×
3571
100
 +
23
2
( x +
9
5
))( x +
9
5
) ÷ 2) = (
1707
20
 × 2 +
3821
100
 x ) x ÷ 2
     Left side of the equation =
21251
100
 + ((2 ×
3571
100
 +
23
2
( x +
9
5
))( x +
9
5
) ÷ 2)
    The equation is transformed into :
     
21251
100
 + ((2 ×
3571
100
 +
23
2
( x +
9
5
))( x +
9
5
) ÷ 2) = (
1707
20
 × 2 +
3821
100
 x ) x ÷ 2
    Remove the bracket on the left of the equation:
     Left side of the equation =
21251
100
 + (2 ×
3571
100
 +
23
2
( x +
9
5
))( x +
9
5
) ÷ 2
                                             =
21251
100
 + 2 ×
3571
100
( x +
9
5
) ×
1
2
 +
23
2
( x +
9
5
)( x +
9
5
) ×
1
2
                                             =
21251
100
 +
3571
100
( x +
9
5
) +
23
4
( x +
9
5
)( x +
9
5
)
                                             =
21251
100
 +
3571
100
 x +
3571
100
 ×
9
5
 +
23
4
( x +
9
5
)( x +
9
5
)
                                             =
21251
100
 +
3571
100
 x +
32139
500
 +
23
4
( x +
9
5
)( x +
9
5
)
                                             =
69197
250
 +
3571
100
 x +
23
4
( x +
9
5
)( x +
9
5
)
                                             =
69197
250
 +
3571
100
 x +
23
4
 x ( x +
9
5
) +
23
4
 ×
9
5
( x +
9
5
)
                                             =
69197
250
 +
3571
100
 x +
23
4
 x ( x +
9
5
) +
207
20
( x +
9
5
)
                                             =
69197
250
 +
3571
100
 x +
23
4
 x x +
23
4
 x ×
9
5
 +
207
20
( x +
9
5
)
                                             =
69197
250
 +
3571
100
 x +
23
4
 x x +
207
20
 x +
207
20
( x +
9
5
)
                                             =
69197
250
 +
2303
50
 x +
23
4
 x x +
207
20
( x +
9
5
)
                                             =
69197
250
 +
2303
50
 x +
23
4
 x x +
207
20
 x +
207
20
 ×
9
5
                                             =
69197
250
 +
2303
50
 x +
23
4
 x x +
207
20
 x +
1863
100
                                             =
147709
500
 +
5641
100
 x +
23
4
 x x
    The equation is transformed into :
     
147709
500
 +
5641
100
 x +
23
4
 x x = (
1707
20
 × 2 +
3821
100
 x ) x ÷ 2
    Remove the bracket on the right of the equation:
     Right side of the equation =
1707
20
 × 2 x ×
1
2
 +
3821
100
 x x ×
1
2
                                               =
1707
20
 x +
3821
200
 x x
    The equation is transformed into :
     
147709
500
 +
5641
100
 x +
23
4
 x x =
1707
20
 x +
3821
200
 x x

    The solution of the equation:
        x1≈-5.909912 , keep 6 decimal places
        x2≈3.742933 , 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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