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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 (100/(1+6%+x+0.5%))/(1+6%)*0.5+(100/(1+6%+x-0.5%))/(1+6%)*0.5 = 88.58 .
    Question type: Equation
    Solution:Original question:
     (100 ÷ (1 +
6
100
 + x +
1
200
)) ÷ (1 +
6
100
) ×
1
2
 + (100 ÷ (1 +
6
100
 + x −
1
200
)) ÷ (1 +
6
100
) ×
1
2
 =
4429
50
     Multiply both sides of the equation by:(1 +
6
100
)
     (100 ÷ (1 +
6
100
 + x +
1
200
)) ×
1
2
 + (100 ÷ (1 +
6
100
 + x −
1
200
)) ÷ (1 +
6
100
) ×
1
2
(1 +
6
100
) =
4429
50
(1 +
6
100
)
    Remove a bracket on the left of the equation:：
     100 ÷ (1 +
6
100
 + x +
1
200
) ×
1
2
 + (100 ÷ (1 +
6
100
 + x −
1
200
)) ÷ (1 +
6
100
) ×
1
2
(1 +
6
100
) =
4429
50
(1 +
6
100
)
    Remove a bracket on the right of the equation:：
     100 ÷ (1 +
6
100
 + x +
1
200
) ×
1
2
 + (100 ÷ (1 +
6
100
 + x −
1
200
)) ÷ (1 +
6
100
) ×
1
2
(1 +
6
100
) =
4429
50
 × 1 +
4429
50
 ×
6
100
    The equation is reduced to :
     50 ÷ (1 +
6
100
 + x +
1
200
) + (100 ÷ (1 +
6
100
 + x −
1
200
)) ÷ (1 +
6
100
) ×
1
2
(1 +
6
100
) =
4429
50
 +
13287
2500
    The equation is reduced to :
     50 ÷ (1 +
6
100
 + x +
1
200
) + (100 ÷ (1 +
6
100
 + x −
1
200
)) ÷ (1 +
6
100
) ×
1
2
(1 +
6
100
) =
234737
2500
     Multiply both sides of the equation by:(1 +
6
100
 + x +
1
200
)
     50 + (100 ÷ (1 +
6
100
 + x −
1
200
)) ÷ (1 +
6
100
) ×
1
2
(1 +
6
100
)(1 +
6
100
 + x +
1
200
) =
234737
2500
(1 +
6
100
 + x +
1
200
)
    Remove a bracket on the left of the equation:
     50 + 100 ÷ (1 +
6
100
 + x −
1
200
) ÷ (1 +
6
100
) ×
1
2
(1 +
6
100
)(1 +
6
100
 + x +
1
200
) =
234737
2500
(1 +
6
100
 + x +
1
200
)
    Remove a bracket on the right of the equation:：
     50 + 100 ÷ (1 +
6
100
 + x −
1
200
) ÷ (1 +
6
100
) ×
1
2
(1 +
6
100
)(1 +
6
100
 + x +
1
200
) =
234737
2500
 × 1 +
234737
2500
 ×
6
100
 +
234737
2500
 x +
234737
2500
 ×
1
200
    The equation is reduced to :
     50 + 50 ÷ (1 +
6
100
 + x −
1
200
) ÷ (1 +
6
100
) × (1 +
6
100
)(1 +
6
100
 + x +
1
200
) =
234737
2500
 +
704211
125000
 +
234737
2500
 x +
234737
500000

    
        x≈0.005045 , 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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