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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 ((2500-x)×0.3+300)(1+2(2500-x)/17500) = x .
    Question type: Equation
    Solution:Original question:
     ((2500 x ) ×
3
10
+ 300)(1 + 2(2500 x ) ÷ 17500) = x
    Remove the bracket on the left of the equation:
     Left side of the equation = (2500 x ) ×
3
10
(1 + 2(2500 x ) ÷ 17500) + 300(1 + 2(2500 x ) ÷ 17500)
                                             = 2500 ×
3
10
(1 + 2(2500 x ) ÷ 17500) x ×
3
10
(1 + 2(2500 x ) ÷ 17500) + 300(1 + 2(2500 x ) ÷ 17500)
                                             = 750(1 + 2(2500 x ) ÷ 17500) x ×
3
10
(1 + 2(2500 x ) ÷ 17500) + 300(1 + 2(2500 x ) ÷ 17500)
                                             = 750 × 1 + 750 × 2(2500 x ) ÷ 17500 x ×
3
10
(1 + 2(2500 x ) ÷ 17500) + 300(1 + 2(2500 x ) ÷ 17500)
                                             = 750 +
3
35
(2500 x ) x ×
3
10
(1 + 2(2500 x ) ÷ 17500) + 300(1 + 2(2500 x ) ÷ 17500)
                                             = 750 +
3
35
× 2500
3
35
x x ×
3
10
(1 + 2(2500 x ) ÷ 17500) + 300(1 + 2(2500 x ) ÷ 17500)
                                             = 750 +
1500
7
3
35
x x ×
3
10
(1 + 2(2500 x ) ÷ 17500) + 300(1 + 2(2500 x ) ÷ 17500)
                                             =
6750
7
3
35
x x ×
3
10
(1 + 2(2500 x ) ÷ 17500) + 300(1 + 2(2500 x ) ÷ 17500)
                                             =
6750
7
3
35
x x ×
3
10
× 1 x ×
3
10
× 2(2500 x ) ÷ 17500 + 300
                                             =
6750
7
3
35
x x ×
3
10
x ×
3
87500
(2500 x ) + 300(1 + 2(2500 x ) ÷ 17500)
                                             =
6750
7
27
70
x x ×
3
87500
(2500 x ) + 300(1 + 2(2500 x ) ÷ 17500)
                                             =
6750
7
27
70
x x ×
3
87500
× 2500 + x ×
3
87500
x + 300(1 + 2(2500 x ) ÷ 17500)
                                             =
6750
7
27
70
x x ×
3
35
+ x ×
3
87500
x + 300(1 + 2(2500 x ) ÷ 17500)
                                             =
6750
7
33
70
x + x ×
3
87500
x + 300(1 + 2(2500 x ) ÷ 17500)
                                             =
6750
7
33
70
x + x ×
3
87500
x + 300 × 1 + 300 × 2(2500 x ) ÷ 17500
                                             =
6750
7
33
70
x + x ×
3
87500
x + 300 +
6
175
(2500 x )
                                             =
8850
7
33
70
x + x ×
3
87500
x +
6
175
(2500 x )
                                             =
8850
7
33
70
x + x ×
3
87500
x +
6
175
× 2500
6
175
x
                                             =
8850
7
33
70
x + x ×
3
87500
x +
600
7
6
175
x
                                             = 1350
177
350
x + x ×
3
87500
x
    The equation is transformed into :
     1350
177
350
x + x ×
3
87500
x = x

    
        x≈915.676591 , keep 6 decimal places
    
    There are 1 solution(s).


解一元一次方程的详细方法请参阅:《一元一次方程的解法》



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