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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 ((2000-x)×0.35+450)(1+2(2000-x)/14000) = x .
    Question type: Equation
    Solution:Original question:
     ((2000 x ) ×
7
20
+ 450)(1 + 2(2000 x ) ÷ 14000) = x
    Remove the bracket on the left of the equation:
     Left side of the equation = (2000 x ) ×
7
20
(1 + 2(2000 x ) ÷ 14000) + 450(1 + 2(2000 x ) ÷ 14000)
                                             = 2000 ×
7
20
(1 + 2(2000 x ) ÷ 14000) x ×
7
20
(1 + 2(2000 x ) ÷ 14000) + 450(1 + 2(2000 x ) ÷ 14000)
                                             = 700(1 + 2(2000 x ) ÷ 14000) x ×
7
20
(1 + 2(2000 x ) ÷ 14000) + 450(1 + 2(2000 x ) ÷ 14000)
                                             = 700 × 1 + 700 × 2(2000 x ) ÷ 14000 x ×
7
20
(1 + 2(2000 x ) ÷ 14000) + 450(1 + 2(2000 x ) ÷ 14000)
                                             = 700 +
1
10
(2000 x ) x ×
7
20
(1 + 2(2000 x ) ÷ 14000) + 450(1 + 2(2000 x ) ÷ 14000)
                                             = 700 +
1
10
× 2000
1
10
x x ×
7
20
(1 + 2(2000 x ) ÷ 14000) + 450(1 + 2(2000 x ) ÷ 14000)
                                             = 700 + 200
1
10
x x ×
7
20
(1 + 2(2000 x ) ÷ 14000) + 450(1 + 2(2000 x ) ÷ 14000)
                                             = 900
1
10
x x ×
7
20
(1 + 2(2000 x ) ÷ 14000) + 450(1 + 2(2000 x ) ÷ 14000)
                                             = 900
1
10
x x ×
7
20
× 1 x ×
7
20
× 2(2000 x ) ÷ 14000 + 450
                                             = 900
1
10
x x ×
7
20
x ×
1
20000
(2000 x ) + 450(1 + 2(2000 x ) ÷ 14000)
                                             = 900
9
20
x x ×
1
20000
(2000 x ) + 450(1 + 2(2000 x ) ÷ 14000)
                                             = 900
9
20
x x ×
1
20000
× 2000 + x ×
1
20000
x + 450(1 + 2(2000 x ) ÷ 14000)
                                             = 900
9
20
x x ×
1
10
+ x ×
1
20000
x + 450(1 + 2(2000 x ) ÷ 14000)
                                             = 900
11
20
x + x ×
1
20000
x + 450(1 + 2(2000 x ) ÷ 14000)
                                             = 900
11
20
x + x ×
1
20000
x + 450 × 1 + 450 × 2(2000 x ) ÷ 14000
                                             = 900
11
20
x + x ×
1
20000
x + 450 +
9
140
(2000 x )
                                             = 1350
11
20
x + x ×
1
20000
x +
9
140
(2000 x )
                                             = 1350
11
20
x + x ×
1
20000
x +
9
140
× 2000
9
140
x
                                             = 1350
11
20
x + x ×
1
20000
x +
900
7
9
140
x
                                             =
10350
7
43
70
x + x ×
1
20000
x
    The equation is transformed into :
     
10350
7
43
70
x + x ×
1
20000
x = x

    
        x≈943.501625 , 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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