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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 1574.4+0.07056x = 19.635x-19.635*x*((x-100)/x)*((x-100)/x)*((x-100)/x)*((x-100)/x) .
    Question type: Equation
    Solution:Original question:
     
7872
5
+
441
6250
x =
3927
200
x
3927
200
x (( x 100) ÷ x )(( x 100) ÷ x )(( x 100) ÷ x )(( x 100) ÷ x )
    Remove a bracket on the right of the equation::
     
7872
5
+
441
6250
x =
3927
200
x
3927
200
× 1( x 100) ÷ 1 × (( x 100) ÷ x )(( x 100) ÷ x )(( x 100) ÷ x )
    The equation is reduced to :
     
7872
5
+
441
6250
x =
3927
200
x
3927
200
( x 100)(( x 100) ÷ x )(( x 100) ÷ x )(( x 100) ÷ x )
    Remove a bracket on the right of the equation::
     
7872
5
+
441
6250
x =
3927
200
x
3927
200
x (( x 100) ÷ x )(( x 100) ÷ x )(( x 100) ÷ x ) +
3927
200
× 100(( x 100) ÷ x )(( x 100) ÷ x )(( x 100) ÷ x )
    The equation is reduced to :
     
7872
5
+
441
6250
x =
3927
200
x
3927
200
x (( x 100) ÷ x )(( x 100) ÷ x )(( x 100) ÷ x ) +
3927
2
(( x 100) ÷ x )(( x 100) ÷ x )(( x 100) ÷ x )
    Remove a bracket on the right of the equation::
     
7872
5
+
441
6250
x =
3927
200
x
3927
200
× 1( x 100) ÷ 1 × (( x 100) ÷ x )(( x 100) ÷ x ) +
3927
2
(( x 100) ÷ x )(( x 100) ÷ x )(( x 100) ÷ x )
    The equation is reduced to :
     
7872
5
+
441
6250
x =
3927
200
x
3927
200
( x 100)(( x 100) ÷ x )(( x 100) ÷ x ) +
3927
2
(( x 100) ÷ x )(( x 100) ÷ x )(( x 100) ÷ x )
    Remove a bracket on the right of the equation::
     
7872
5
+
441
6250
x =
3927
200
x
3927
200
x (( x 100) ÷ x )(( x 100) ÷ x ) +
3927
200
× 100(( x 100) ÷ x )(( x 100) ÷ x ) +
3927
2
(( x 100) ÷ x )
    The equation is reduced to :
     
7872
5
+
441
6250
x =
3927
200
x
3927
200
x (( x 100) ÷ x )(( x 100) ÷ x ) +
3927
2
(( x 100) ÷ x )(( x 100) ÷ x ) +
3927
2
(( x 100) ÷ x )(( x 100) ÷ x )
    Remove a bracket on the right of the equation::
     
7872
5
+
441
6250
x =
3927
200
x
3927
200
× 1( x 100) ÷ 1 × (( x 100) ÷ x ) +
3927
2
(( x 100) ÷ x )(( x 100) ÷ x ) +
3927
2
(( x 100) ÷ x )
    The equation is reduced to :
     
7872
5
+
441
6250
x =
3927
200
x
3927
200
( x 100)(( x 100) ÷ x ) +
3927
2
(( x 100) ÷ x )(( x 100) ÷ x ) +
3927
2
(( x 100) ÷ x )(( x 100) ÷ x )(( x 100) ÷ x )
    Remove a bracket on the right of the equation::
     
7872
5
+
441
6250
x =
3927
200
x
3927
200
x (( x 100) ÷ x ) +
3927
200
× 100(( x 100) ÷ x ) +
3927
2
(( x 100) ÷ x )(( x 100) ÷ x ) +
3927
2
    The equation is reduced to :
     
7872
5
+
441
6250
x =
3927
200
x
3927
200
x (( x 100) ÷ x ) +
3927
2
(( x 100) ÷ x ) +
3927
2
(( x 100) ÷ x )(( x 100) ÷ x ) +
3927
2
(( x 100) ÷ x )
    Remove a bracket on the right of the equation::
     
7872
5
+
441
6250
x =
3927
200
x
3927
200
× 1( x 100) ÷ 1 +
3927
2
(( x 100) ÷ x ) +
3927
2
(( x 100) ÷ x )(( x 100) ÷ x ) +
3927
2
    The equation is reduced to :
     
7872
5
+
441
6250
x =
3927
200
x
3927
200
( x 100) +
3927
2
(( x 100) ÷ x ) +
3927
2
(( x 100) ÷ x )(( x 100) ÷ x ) +
3927
2
(( x 100) ÷ x )(( x 100) ÷ x )
    Remove a bracket on the right of the equation::
     
7872
5
+
441
6250
x =
3927
200
x
3927
200
x +
3927
200
× 100 +
3927
2
(( x 100) ÷ x ) +
3927
2
(( x 100) ÷ x )(( x 100) ÷ x ) +
3927
2
    The equation is reduced to :
     
7872
5
+
441
6250
x =
3927
200
x
3927
200
x +
3927
2
+
3927
2
(( x 100) ÷ x ) +
3927
2
(( x 100) ÷ x )(( x 100) ÷ x ) +
3927
2
(( x 100) ÷ x )
    The equation is reduced to :
     
7872
5
+
441
6250
x = 0 x +
3927
2
+
3927
2
(( x 100) ÷ x ) +
3927
2
(( x 100) ÷ x )(( x 100) ÷ x ) +
3927
2
(( x 100) ÷ x )(( x 100) ÷ x )(( x 100) ÷ x )
    Remove a bracket on the right of the equation::
     
7872
5
+
441
6250
x =
3927
2
+
3927
2
( x 100) ÷ x +
3927
2
(( x 100) ÷ x )(( x 100) ÷ x ) +
3927
2
(( x 100) ÷ x )(( x 100) ÷ x )(( x 100) ÷ x )
     Multiply both sides of the equation by: x
     
7872
5
x +
441
6250
x x =
3927
2
x +
3927
2
( x 100) +
3927
2
(( x 100) ÷ x )(( x 100) ÷ x ) x +
3927
2
(( x 100) ÷ x )(( x 100) ÷ x )(( x 100) ÷ x )
    Remove a bracket on the right of the equation::
     
7872
5
x +
441
6250
x x =
3927
2
x +
3927
2
x
3927
2
× 100 +
3927
2
(( x 100) ÷ x )(( x 100) ÷ x ) x +
3927
2
(( x 100) ÷ x )
    The equation is reduced to :
     
7872
5
x +
441
6250
x x =
3927
2
x +
3927
2
x 196350 +
3927
2
(( x 100) ÷ x )(( x 100) ÷ x ) x +
3927
2
(( x 100) ÷ x )(( x 100) ÷ x )
    The equation is reduced to :
     
7872
5
x +
441
6250
x x = 3927 x 196350 +
3927
2
(( x 100) ÷ x )(( x 100) ÷ x ) x +
3927
2
(( x 100) ÷ x )(( x 100) ÷ x )(( x 100) ÷ x ) x
    Remove a bracket on the right of the equation::
     
7872
5
x +
441
6250
x x = 3927 x 196350 +
3927
2
( x 100) ÷ 1 × (( x 100) ÷ x ) × 1 +
3927
2
(( x 100) ÷ 1)(( x 100) ÷ x )(( x 100) ÷ x )
    The equation is reduced to :
     
7872
5
x +
441
6250
x x = 3927 x 196350 +
3927
2
( x 100)(( x 100) ÷ x ) +
3927
2
(( x 100) ÷ 1)(( x 100) ÷ x )(( x 100) ÷ x )

    the solutions is:
        x≈80.735213 , keep 6 decimal places
    
    There are 1 solution(s).


解方程的详细方法请参阅:《方程的解法》



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