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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 503.55*x = 342.31*(x-2.71)+(x-4.07)/2*(25.06*x+193.75)*(x-4.07)/3*(35.06*x+361.96)/(35.06*x+193.75) .
    Question type: Equation
    Solution:Original question:
     
10071
20
x =
34231
100
( x
271
100
) + ( x
407
100
) ÷ 2 × (
1253
50
x +
775
4
)( x
407
100
) ÷ 3 × (
1753
50
x +
9049
25
) ÷ (
1753
50
x +
775
4
)
     Multiply both sides of the equation by:(
1753
50
x +
775
4
)
     
10071
20
x (
1753
50
x +
775
4
) =
34231
100
( x
271
100
)(
1753
50
x +
775
4
) + ( x
407
100
) ÷ 2 × (
1253
50
x +
775
4
)( x
407
100
) ÷ 3 × (
1753
50
x +
9049
25
)
    Remove a bracket on the left of the equation::
     
10071
20
x ×
1753
50
x +
10071
20
x ×
775
4
=
34231
100
( x
271
100
)(
1753
50
x +
775
4
) + ( x
407
100
) ÷ 2 × (
1253
50
x +
775
4
)( x
407
100
) ÷ 3 × (
1753
50
x +
9049
25
)
    Remove a bracket on the right of the equation::
     
10071
20
x ×
1753
50
x +
10071
20
x ×
775
4
=
34231
100
x (
1753
50
x +
775
4
)
34231
100
×
271
100
(
1753
50
x +
775
4
) + ( x
407
100
) ÷ 2 × (
1253
50
x +
775
4
)( x
407
100
) ÷ 3 × (
1753
50
x +
9049
25
)
    The equation is reduced to :
     
17654463
1000
x x +
1561005
16
x =
34231
100
x (
1753
50
x +
775
4
)
9276601
10000
(
1753
50
x +
775
4
) + ( x
407
100
) ×
1
6
(
1253
50
x +
775
4
)( x
407
100
)(
1753
50
x +
9049
25
)
    Remove a bracket on the right of the equation::
     
17654463
1000
x x +
1561005
16
x =
34231
100
x ×
1753
50
x +
34231
100
x ×
775
4
9276601
10000
(
1753
50
x +
775
4
) + ( x
407
100
) ×
1
6
(
1253
50
x +
775
4
)
    The equation is reduced to :
     
17654463
1000
x x +
1561005
16
x =
60006943
5000
x x +
1061161
16
x
9276601
10000
(
1753
50
x +
775
4
) + ( x
407
100
) ×
1
6
(
1253
50
x +
775
4
)( x
407
100
)(
1753
50
x +
9049
25
)
    Remove a bracket on the right of the equation::
     
17654463
1000
x x +
1561005
16
x =
60006943
5000
x x +
1061161
16
x
9276601
10000
×
1753
50
x
9276601
10000
×
775
4
+ ( x
407
100
) ×
1
6

    The solution of the equation:
        x1≈-11.756196 , keep 6 decimal places
        x2≈-7.415480 , keep 6 decimal places
        x3≈-5.526241 , keep 6 decimal places
        x4≈0.119005 , keep 6 decimal places
        x5≈9.137210 , 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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