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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 501.15 = 27.26+18.1+(x+1.4)/2*(17.37+17.37+(x+1.4)*22.4*0.438) .
    Question type: Equation
    Solution:Original question:
     
10023
20
=
1363
50
+
181
10
+ ( x +
7
5
) ÷ 2 × (
1737
100
+
1737
100
+ ( x +
7
5
) ×
112
5
×
219
500
)
     Right side of the equation =
1134
25
+ ( x +
7
5
) ×
1
2
(
1737
100
+
1737
100
+ ( x +
7
5
) ×
112
5
×
219
500
)
    The equation is transformed into :
     
10023
20
=
1134
25
+ ( x +
7
5
) ×
1
2
(
1737
100
+
1737
100
+ ( x +
7
5
) ×
112
5
×
219
500
)
    Remove the bracket on the right of the equation:
     Right side of the equation =
1134
25
+ x ×
1
2
(
1737
100
+
1737
100
+ ( x +
7
5
) ×
112
5
×
219
500
) +
7
5
×
1
2
(
1737
100
+
1737
100
+ ( x +
7
5
) ×
112
5
×
219
500
)
                                               =
1134
25
+ x ×
1
2
(
1737
100
+
1737
100
+ ( x +
7
5
) ×
112
5
×
219
500
) +
7
10
(
1737
100
+
1737
100
+ ( x +
7
5
) ×
112
5
×
219
500
)
                                               =
1134
25
+ x ×
1
2
×
1737
100
+ x ×
1
2
×
1737
100
+ x ×
1
2
( x +
7
5
) ×
112
5
×
219
500
                                               =
1134
25
+ x ×
1737
200
+ x ×
1737
200
+ x ×
3066
625
( x +
7
5
) +
7
10
(
1737
100
+
1737
100
+ ( x +
7
5
) ×
112
5
×
219
500
)
                                               =
1134
25
+
1737
100
x + x ×
3066
625
( x +
7
5
) +
7
10
(
1737
100
+
1737
100
+ ( x +
7
5
) ×
112
5
×
219
500
)
                                               =
1134
25
+
1737
100
x + x ×
3066
625
x + x ×
3066
625
×
7
5
+
7
10
(
1737
100
+
1737
100
+ ( x +
7
5
) ×
112
5
×
219
500
)
                                               =
1134
25
+
1737
100
x + x ×
3066
625
x + x ×
21462
3125
+
7
10
(
1737
100
+
1737
100
+ ( x +
7
5
) ×
112
5
×
219
500
)
                                               =
1134
25
+
302973
12500
x + x ×
3066
625
x +
7
10
(
1737
100
+
1737
100
+ ( x +
7
5
) ×
112
5
×
219
500
)
                                               =
1134
25
+
302973
12500
x + x ×
3066
625
x +
7
10
×
1737
100
+
7
10
×
1737
100
+
7
10
( x +
7
5
)
                                               =
1134
25
+
302973
12500
x + x ×
3066
625
x +
12159
1000
+
12159
1000
+
21462
3125
( x +
7
5
)
                                               =
34839
500
+
302973
12500
x + x ×
3066
625
x +
21462
3125
( x +
7
5
)
                                               =
34839
500
+
302973
12500
x + x ×
3066
625
x +
21462
3125
x +
21462
3125
×
7
5
                                               =
34839
500
+
302973
12500
x + x ×
3066
625
x +
21462
3125
x +
150234
15625
                                               =
4955811
62500
+
388821
12500
x + x ×
3066
625
x
    The equation is transformed into :
     
10023
20
=
4955811
62500
+
388821
12500
x + x ×
3066
625
x

    The solution of the equation:
        x1≈-12.970762 , keep 6 decimal places
        x2≈6.629911 , 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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