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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 85000 = X/(1+6%)+X/(1+6%)2+X/(1+6%)3+X/(1+6%)4+X/(1+6%)5 .
    Question type: Equation
    Solution:Original question:
     85000 = X ÷ (1 +
6
100
) + X ÷ (1 +
6
100
) × 2 + X ÷ (1 +
6
100
) × 3 + X ÷ (1 +
6
100
) × 4 + X
     Multiply both sides of the equation by:(1 +
6
100
)
     85000(1 +
6
100
) = X + X ÷ (1 +
6
100
) × 2(1 +
6
100
) + X ÷ (1 +
6
100
) × 3(1 +
6
100
) + X ÷ (1 +
6
100
) × 4
    Remove a bracket on the left of the equation:：
     85000 × 1 + 85000 ×
6
100
 = X + X ÷ (1 +
6
100
) × 2(1 +
6
100
) + X ÷ (1 +
6
100
) × 3(1 +
6
100
) + X ÷ (1 +
6
100
) × 4
    Remove a bracket on the right of the equation:：
     85000 × 1 + 85000 ×
6
100
 = X + X ÷ (1 +
6
100
) × 2 × 1 + X ÷ (1 +
6
100
) × 2 ×
6
100
 + X ÷ (1 +
6
100
) × 3
    The equation is reduced to :
     85000 + 5100 = X + X ÷ (1 +
6
100
) × 2 + X ÷ (1 +
6
100
) ×
3
25
 + X ÷ (1 +
6
100
) × 3(1 +
6
100
) + X
    The equation is reduced to :
     90100 = X + X ÷ (1 +
6
100
) × 2 + X ÷ (1 +
6
100
) ×
3
25
 + X ÷ (1 +
6
100
) × 3(1 +
6
100
) + X
     Multiply both sides of the equation by:(1 +
6
100
)
     90100(1 +
6
100
) = X (1 +
6
100
) + X × 2 + X ÷ (1 +
6
100
) ×
3
25
(1 +
6
100
) + X ÷ (1 +
6
100
) × 3(1 +
6
100
)
    Remove a bracket on the left of the equation:
     90100 × 1 + 90100 ×
6
100
 = X (1 +
6
100
) + X × 2 + X ÷ (1 +
6
100
) ×
3
25
(1 +
6
100
) + X ÷ (1 +
6
100
) × 3(1 +
6
100
)
    Remove a bracket on the right of the equation:：
     90100 × 1 + 90100 ×
6
100
 = X × 1 + X ×
6
100
 + X × 2 + X ÷ (1 +
6
100
) ×
3
25
(1 +
6
100
) + X ÷ (1 +
6
100
)
    The equation is reduced to :
     90100 + 5406 = X × 1 + X ×
6
100
 + X × 2 + X ÷ (1 +
6
100
) ×
3
25
(1 +
6
100
) + X ÷ (1 +
6
100
)
    The equation is reduced to :
     95506 =
153
50
 X + X ÷ (1 +
6
100
) ×
3
25
(1 +
6
100
) + X ÷ (1 +
6
100
) × 3(1 +
6
100
)(1 +
6
100
) + X
     Multiply both sides of the equation by:(1 +
6
100
)
     95506(1 +
6
100
) =
153
50
 X (1 +
6
100
) + X ×
3
25
(1 +
6
100
) + X ÷ (1 +
6
100
) × 3(1 +
6
100
)(1 +
6
100
)(1 +
6
100
)
    Remove a bracket on the left of the equation:
     95506 × 1 + 95506 ×
6
100
 =
153
50
 X (1 +
6
100
) + X ×
3
25
(1 +
6
100
) + X ÷ (1 +
6
100
) × 3(1 +
6
100
)(1 +
6
100
)(1 +
6
100
)
    Remove a bracket on the right of the equation:：
     95506 × 1 + 95506 ×
6
100
 =
153
50
 X × 1 +
153
50
 X ×
6
100
 + X ×
3
25
(1 +
6
100
) + X ÷ (1 +
6
100
) × 3
    The equation is reduced to :
     95506 +
143259
25
 =
153
50
 X +
459
2500
 X + X ×
3
25
(1 +
6
100
) + X ÷ (1 +
6
100
) × 3(1 +
6
100
)(1 +
6
100
)
    The equation is reduced to :
     
2530909
25
 =
8109
2500
 X + X ×
3
25
(1 +
6
100
) + X ÷ (1 +
6
100
) × 3(1 +
6
100
)(1 +
6
100
)(1 +
6
100
) + X
     Multiply both sides of the equation by:(1 +
6
100
)
     
2530909
25
(1 +
6
100
) =
8109
2500
 X (1 +
6
100
) + X ×
3
25
(1 +
6
100
)(1 +
6
100
) + X × 3(1 +
6
100
)(1 +
6
100
)(1 +
6
100
)
    Remove a bracket on the left of the equation:
     
2530909
25
 × 1 +
2530909
25
 ×
6
100
 =
8109
2500
 X (1 +
6
100
) + X ×
3
25
(1 +
6
100
)(1 +
6
100
) + X × 3(1 +
6
100
)(1 +
6
100
)(1 +
6
100
)
    Remove a bracket on the right of the equation:：
     
2530909
25
 × 1 +
2530909
25
 ×
6
100
 =
8109
2500
 X × 1 +
8109
2500
 X ×
6
100
 + X ×
3
25
(1 +
6
100
)(1 +
6
100
) + X × 3
    The equation is reduced to :
     
2530909
25
 +
7592727
1250
 =
8109
2500
 X +
24327
125000
 X + X ×
3
25
(1 +
6
100
)(1 +
6
100
) + X × 3(1 +
6
100
)(1 +
6
100
)
    The equation is reduced to :
     
134138177
1250
 =
429777
125000
 X + X ×
3
25
(1 +
6
100
)(1 +
6
100
) + X × 3(1 +
6
100
)(1 +
6
100
)(1 +
6
100
) + X
     Multiply both sides of the equation by:(1 +
6
100
)

    
        X=
18020
3
    
    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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