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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 2.5x/(1+1.5x) = 0.714x+0.28 .
    Question type: Equation
    Solution:Original question:
     
5
2
x ÷ (1 +
3
2
x ) =
357
500
x +
7
25
     Multiply both sides of the equation by:(1 +
3
2
x )
     
5
2
x =
357
500
x (1 +
3
2
x ) +
7
25
(1 +
3
2
x )
    Remove a bracket on the right of the equation::
     
5
2
x =
357
500
x × 1 +
357
500
x ×
3
2
x +
7
25
(1 +
3
2
x )
    The equation is reduced to :
     
5
2
x =
357
500
x +
1071
1000
x x +
7
25
(1 +
3
2
x )
    Remove a bracket on the right of the equation::
     
5
2
x =
357
500
x +
1071
1000
x x +
7
25
× 1 +
7
25
×
3
2
x
    The equation is reduced to :
     
5
2
x =
357
500
x +
1071
1000
x x +
7
25
+
21
50
x
    The equation is reduced to :
     
5
2
x =
567
500
x +
1071
1000
x x +
7
25

    The solution of the equation:
        x1≈0.256603 , keep 6 decimal places
        x2≈1.018840 , 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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