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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)/(1500-x)-(1500+x)/1500 = 1/10000 .
    Question type: Equation
    Solution:Original question:
     (1500 + x ) ÷ (1500 x )(1500 + x ) ÷ 1500 = 1 ÷ 10000
     Multiply both sides of the equation by:(1500 x )
     (1500 + x )(1500 + x ) ÷ 1500 × (1500 x ) = 1 ÷ 10000 × (1500 x )
    Remove a bracket on the left of the equation::
     1500 + x (1500 + x ) ÷ 1500 × (1500 x ) = 1 ÷ 10000 × (1500 x )
    Remove a bracket on the right of the equation::
     1500 + x (1500 + x ) ÷ 1500 × (1500 x ) = 1 ÷ 10000 × 15001 ÷ 10000 × x
    The equation is reduced to :
     1500 + x (1500 + x ) ×
1
1500
(1500 x ) =
3
20
1
10000
x
    Remove a bracket on the left of the equation:
     1500 + x 1500 ×
1
1500
(1500 x ) x ×
1
1500
(1500 x ) =
3
20
1
10000
x
    The equation is reduced to :
     1500 + x 1(1500 x ) x ×
1
1500
(1500 x ) =
3
20
1
10000
x
    Remove a bracket on the left of the equation:
     1500 + x 1 × 1500 + 1 x x ×
1
1500
(1500 x ) =
3
20
1
10000
x
    The equation is reduced to :
     1500 + x 1500 + 1 x x ×
1
1500
(1500 x ) =
3
20
1
10000
x
    The equation is reduced to :
     0 + 2 x x ×
1
1500
(1500 x ) =
3
20
1
10000
x
    Remove a bracket on the left of the equation:
     2 x x ×
1
1500
× 1500 + x ×
1
1500
x =
3
20
1
10000
x
    The equation is reduced to :
     2 x x × 1 + x ×
1
1500
x =
3
20
1
10000
x
    The equation is reduced to :
     1 x + x ×
1
1500
x =
3
20
1
10000
x

    
        x≈0.149970 , 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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