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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 ((1500-x)×0.35+450)(1+2(1500-x)/10500) = x .
    Question type: Equation
    Solution:Original question:
     ((1500 x ) ×
7
20
+ 450)(1 + 2(1500 x ) ÷ 10500) = x
    Remove the bracket on the left of the equation:
     Left side of the equation = (1500 x ) ×
7
20
(1 + 2(1500 x ) ÷ 10500) + 450(1 + 2(1500 x ) ÷ 10500)
                                             = 1500 ×
7
20
(1 + 2(1500 x ) ÷ 10500) x ×
7
20
(1 + 2(1500 x ) ÷ 10500) + 450(1 + 2(1500 x ) ÷ 10500)
                                             = 525(1 + 2(1500 x ) ÷ 10500) x ×
7
20
(1 + 2(1500 x ) ÷ 10500) + 450(1 + 2(1500 x ) ÷ 10500)
                                             = 525 × 1 + 525 × 2(1500 x ) ÷ 10500 x ×
7
20
(1 + 2(1500 x ) ÷ 10500) + 450(1 + 2(1500 x ) ÷ 10500)
                                             = 525 +
1
10
(1500 x ) x ×
7
20
(1 + 2(1500 x ) ÷ 10500) + 450(1 + 2(1500 x ) ÷ 10500)
                                             = 525 +
1
10
× 1500
1
10
x x ×
7
20
(1 + 2(1500 x ) ÷ 10500) + 450(1 + 2(1500 x ) ÷ 10500)
                                             = 525 + 150
1
10
x x ×
7
20
(1 + 2(1500 x ) ÷ 10500) + 450(1 + 2(1500 x ) ÷ 10500)
                                             = 675
1
10
x x ×
7
20
(1 + 2(1500 x ) ÷ 10500) + 450(1 + 2(1500 x ) ÷ 10500)
                                             = 675
1
10
x x ×
7
20
× 1 x ×
7
20
× 2(1500 x ) ÷ 10500 + 450
                                             = 675
1
10
x x ×
7
20
x ×
1
15000
(1500 x ) + 450(1 + 2(1500 x ) ÷ 10500)
                                             = 675
9
20
x x ×
1
15000
(1500 x ) + 450(1 + 2(1500 x ) ÷ 10500)
                                             = 675
9
20
x x ×
1
15000
× 1500 + x ×
1
15000
x + 450(1 + 2(1500 x ) ÷ 10500)
                                             = 675
9
20
x x ×
1
10
+ x ×
1
15000
x + 450(1 + 2(1500 x ) ÷ 10500)
                                             = 675
11
20
x + x ×
1
15000
x + 450(1 + 2(1500 x ) ÷ 10500)
                                             = 675
11
20
x + x ×
1
15000
x + 450 × 1 + 450 × 2(1500 x ) ÷ 10500
                                             = 675
11
20
x + x ×
1
15000
x + 450 +
3
35
(1500 x )
                                             = 1125
11
20
x + x ×
1
15000
x +
3
35
(1500 x )
                                             = 1125
11
20
x + x ×
1
15000
x +
3
35
× 1500
3
35
x
                                             = 1125
11
20
x + x ×
1
15000
x +
900
7
3
35
x
                                             =
8775
7
89
140
x + x ×
1
15000
x
    The equation is transformed into :
     
8775
7
89
140
x + x ×
1
15000
x = x

    
        x≈791.936812 , 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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