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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 7.2 = 22.6*0.575*(x+0.1)/(1+0.575*(x+1))*(100-0.117-0.0152)/100/(1+0.31*0.0152)+0.0345*(x+0.1)/(1.4*0.1) .
    Question type: Equation
    Solution:Original question:
     
36
5
=
113
5
×
23
40
( x +
1
10
) ÷ (1 +
23
40
( x + 1)) × (100 −
117
1000
−
19
1250
) ÷ 100 ÷ (1 +
31
100
×
19
1250
) +
69
2000
( x +
1
10
) ÷ (
7
5
×
1
10
)
     Multiply both sides of the equation by:(1 +
23
40
( x + 1))
     
36
5
(1 +
23
40
( x + 1)) =
113
5
×
23
40
( x +
1
10
)(100 −
117
1000
−
19
1250
) ÷ 100 ÷ (1 +
31
100
×
19
1250
) +
69
2000
( x +
1
10
) ÷ (
7
5
×
1
10
) × (1 +
23
40
( x + 1))
    Remove a bracket on the left of the equation::
     
36
5
× 1 +
36
5
×
23
40
( x + 1) =
113
5
×
23
40
( x +
1
10
)(100 −
117
1000
−
19
1250
) ÷ 100 ÷ (1 +
31
100
×
19
1250
) +
69
2000
( x +
1
10
) ÷ (
7
5
×
1
10
) × (1 +
23
40
( x + 1))
    Remove a bracket on the right of the equation::
     
36
5
× 1 +
36
5
×
23
40
( x + 1) =
113
5
×
23
40
x (100 −
117
1000
−
19
1250
) ÷ 100 ÷ (1 +
31
100
×
19
1250
) +
113
5
×
23
40
×
1
10
(100 −
117
1000
−
19
1250
) ÷ 100 ÷ (1 +
31
100
×
19
1250
)
    The equation is reduced to :
     
36
5
+
207
50
( x + 1) =
2599
20000
x (100 −
117
1000
−
19
1250
) ÷ (1 +
31
100
×
19
1250
) +
2599
200000
(100 −
117
1000
−
19
1250
) ÷ (1 +
31
100
×
19
1250
) +
69
2000
( x +
1
10
) ÷ (
7
5
×
1
10
) × (1 +
23
40
( x + 1))
     Multiply both sides of the equation by:(1 +
31
100
×
19
1250
)
     
36
5
(1 +
31
100
×
19
1250
) +
207
50
( x + 1)(1 +
31
100
×
19
1250
) =
2599
20000
x (100 −
117
1000
−
19
1250
) +
2599
200000
(100 −
117
1000
−
19
1250
) ÷ (1 +
31
100
×
19
1250
) × (1 +
31
100
×
19
1250
) +
69
2000
( x +
1
10
) ÷ (
7
5
×
1
10
) × (1 +
23
40
( x + 1))(1 +
31
100
×
19
1250
)
    Remove a bracket on the left of the equation:
     
36
5
× 1 +
36
5
×
31
100
×
19
1250
+
207
50
( x + 1)(1 +
31
100
×
19
1250
) =
2599
20000
x (100 −
117
1000
−
19
1250
) +
2599
200000
(100 −
117
1000
−
19
1250
) ÷ (1 +
31
100
×
19
1250
) × (1 +
31
100
×
19
1250
) +
69
2000
( x +
1
10
) ÷ (
7
5
×
1
10
) × (1 +
23
40
( x + 1))(1 +
31
100
×
19
1250
)
    Remove a bracket on the right of the equation::
     
36
5
× 1 +
36
5
×
31
100
×
19
1250
+
207
50
( x + 1)(1 +
31
100
×
19
1250
) =
2599
20000
x × 100 −
2599
20000
x ×
117
1000
−
2599
20000
x ×
19
1250
+
2599
200000
(100 −
117
1000
−
19
1250
) ÷ (1 +
31
100
×
19
1250
)
    The equation is reduced to :
     
36
5
+
5301
156250
+
207
50
( x + 1)(1 +
31
100
×
19
1250
) =
2599
200
x −
304083
20000000
x −
49381
25000000
x +
2599
200000
(100 −
117
1000
−
19
1250
) ÷ (1 +
31
100
×
19
1250
) × (1 +
31
100
×
19
1250
) +
69
2000
( x +
1
10
)

    The solution of the equation:
        x1≈-2.739130 , keep 6 decimal places
        x2≈1.144851 , 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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