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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.
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    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 0.2*(1050-x)/(1050+2*x)+0.8*(966-x)/(966+2*x) = 0 .
    Question type: Equation
    Solution:Original question:
     
1
5
(1050 − x ) ÷ (1050 + 2 x ) +
4
5
(966 − x ) ÷ (966 + 2 x ) = 0
     Multiply both sides of the equation by:(1050 + 2 x )
     
1
5
(1050 − x ) +
4
5
(966 − x ) ÷ (966 + 2 x ) × (1050 + 2 x ) = 0
    Remove a bracket on the left of the equation:：
     
1
5
 × 1050 −
1
5
 x +
4
5
(966 − x ) ÷ (966 + 2 x ) × (1050 + 2 x ) = 0
    The equation is reduced to :
     210 −
1
5
 x +
4
5
(966 − x ) ÷ (966 + 2 x ) × (1050 + 2 x ) = 0
     Multiply both sides of the equation by:(966 + 2 x )
     210(966 + 2 x ) −
1
5
 x (966 + 2 x ) +
4
5
(966 − x )(1050 + 2 x ) = 0
    Remove a bracket on the left of the equation:
     210 × 966 + 210 × 2 x −
1
5
 x (966 + 2 x ) +
4
5
(966 − x )(1050 + 2 x ) = 0
    The equation is reduced to :
     202860 + 420 x −
1
5
 x (966 + 2 x ) +
4
5
(966 − x )(1050 + 2 x ) = 0
    Remove a bracket on the left of the equation:
     202860 + 420 x −
1
5
 x × 966 −
1
5
 x × 2 x +
4
5
(966 − x ) = 0
    The equation is reduced to :
     202860 + 420 x −
966
5
 x −
2
5
 x x +
4
5
(966 − x )(1050 + 2 x ) = 0
    The equation is reduced to :
     202860 +
1134
5
 x −
2
5
 x x +
4
5
(966 − x )(1050 + 2 x ) = 0
    Remove a bracket on the left of the equation:
     202860 +
1134
5
 x −
2
5
 x x +
4
5
 × 966(1050 + 2 x ) −
4
5
 x (1050 + 2 x ) = 0
    The equation is reduced to :
     202860 +
1134
5
 x −
2
5
 x x +
3864
5
(1050 + 2 x ) −
4
5
 x (1050 + 2 x ) = 0
    Remove a bracket on the left of the equation:
     202860 +
1134
5
 x −
2
5
 x x +
3864
5
 × 1050 +
3864
5
 × 2 x −
4
5
 = 0
    The equation is reduced to :
     202860 +
1134
5
 x −
2
5
 x x + 811440 +
7728
5
 x −
4
5
 x (1050 + 2 x ) = 0
    The equation is reduced to :
     1014300 +
8862
5
 x −
2
5
 x x −
4
5
 x (1050 + 2 x ) = 0
    Remove a bracket on the left of the equation:
     1014300 +
8862
5
 x −
2
5
 x x −
4
5
 x × 1050 −
4
5
 x × 2 = 0
    The equation is reduced to :
     1014300 +
8862
5
 x −
2
5
 x x − 840 x −
8
5
 x x = 0
    The equation is reduced to :
     1014300 +
4662
5
 x −
2
5
 x x −
8
5
 x x = 0
    
    There are 0 solution(s).

解程的详细方法请参阅：《方程的解法》


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