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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 660.7/[（1.2+1.15x）(2+1.15x)]+3.5x = 61.75 .
    Question type: Equation
    Solution:Original question:
     
6607
10
 ÷ ((
6
5
 +
23
20
 x )(2 +
23
20
 x )) +
7
2
 x =
247
4
     Multiply both sides of the equation by:((
6
5
 +
23
20
 x )(2 +
23
20
 x ))
     
6607
10
 +
7
2
 x ((
6
5
 +
23
20
 x )(2 +
23
20
 x )) =
247
4
((
6
5
 +
23
20
 x )(2 +
23
20
 x ))
    Remove a bracket on the left of the equation:：
     
6607
10
 +
7
2
 x (
6
5
 +
23
20
 x )(2 +
23
20
 x ) =
247
4
((
6
5
 +
23
20
 x )(2 +
23
20
 x ))
    Remove a bracket on the right of the equation:：
     
6607
10
 +
7
2
 x (
6
5
 +
23
20
 x )(2 +
23
20
 x ) =
247
4
(
6
5
 +
23
20
 x )(2 +
23
20
 x )
    Remove a bracket on the left of the equation:
     
6607
10
 +
7
2
 x ×
6
5
(2 +
23
20
 x ) +
7
2
 x ×
23
20
 x (2 +
23
20
 x ) =
247
4
(
6
5
 +
23
20
 x )(2 +
23
20
 x )
    Remove a bracket on the right of the equation:：
     
6607
10
 +
7
2
 x ×
6
5
(2 +
23
20
 x ) +
7
2
 x ×
23
20
 x (2 +
23
20
 x ) =
247
4
 ×
6
5
(2 +
23
20
 x ) +
247
4
 ×
23
20
 x (2 +
23
20
 x )
    The equation is reduced to :
     
6607
10
 +
21
5
 x (2 +
23
20
 x ) +
161
40
 x x (2 +
23
20
 x ) =
741
10
(2 +
23
20
 x ) +
5681
80
 x (2 +
23
20
 x )
    Remove a bracket on the left of the equation:
     
6607
10
 +
21
5
 x × 2 +
21
5
 x ×
23
20
 x +
161
40
 x x (2 +
23
20
 x ) =
741
10
(2 +
23
20
 x ) +
5681
80
 x (2 +
23
20
 x )
    Remove a bracket on the right of the equation:：
     
6607
10
 +
21
5
 x × 2 +
21
5
 x ×
23
20
 x +
161
40
 x x (2 +
23
20
 x ) =
741
10
 × 2 +
741
10
 ×
23
20
 x +
5681
80
 x (2 +
23
20
 x )
    The equation is reduced to :
     
6607
10
 +
42
5
 x +
483
100
 x x +
161
40
 x x (2 +
23
20
 x ) =
741
5
 +
17043
200
 x +
5681
80
 x (2 +
23
20
 x )
    Remove a bracket on the left of the equation:
     
6607
10
 +
42
5
 x +
483
100
 x x +
161
40
 x x × 2 +
161
40
 x =
741
5
 +
17043
200
 x +
5681
80
 x (2 +
23
20
 x )
    Remove a bracket on the right of the equation:：
     
6607
10
 +
42
5
 x +
483
100
 x x +
161
40
 x x × 2 +
161
40
 x =
741
5
 +
17043
200
 x +
5681
80
 x × 2 +
5681
80
 x ×
23
20
 x
    The equation is reduced to :
     
6607
10
 +
42
5
 x +
483
100
 x x +
161
20
 x x +
3703
800
 x x =
741
5
 +
17043
200
 x +
5681
40
 x +
130663
1600
 x x
    The equation is reduced to :
     
6607
10
 +
42
5
 x +
483
100
 x x +
161
20
 x x +
3703
800
 x x =
741
5
 +
5681
25
 x +
130663
1600
 x x

    The solution of the equation:
        x1≈-3.983811 , keep 6 decimal places
        x2≈-1.739130 , keep 6 decimal places
        x3≈-1.043478 , keep 6 decimal places
        x4≈1.612939 , keep 6 decimal places
        x5≈17.231120 , keep 6 decimal places    
    There are 5 solution(s).

解程的详细方法请参阅：《方程的解法》


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