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           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation ((-0.2650)+(-0.9176)*x+(0.1247+0.0688+0.0853)/10000)/(1+x)+0.000103-(((-0.2650)+(-0.9117)*x+(0.0825+0.0606+0.0672)/10000)/(1+x)+0.000039) = 0 .
    Question type: Equation
    Solution:Original question:
     (( -
53
200
) + ( -
1147
1250
) x + (
1247
10000
+
43
625
+
853
10000
) ÷ 10000) ÷ (1 + x ) +
103
1000000
((( -
53
200
) + ( -
9117
10000
) x + (
33
400
+
303
5000
+
42
625
) ÷ 10000) ÷ (1 + x ) +
39
1000000
) = 0
     Multiply both sides of the equation by:(1 + x )
     (( -
53
200
) + ( -
1147
1250
) x + (
1247
10000
+
43
625
+
853
10000
) ÷ 10000) +
103
1000000
(1 + x )((( -
53
200
) + ( -
9117
10000
) x + (
33
400
+
303
5000
+
42
625
) ÷ 10000) ÷ (1 + x ) +
39
1000000
)(1 + x ) = 0
    Remove a bracket on the left of the equation::
     ( -
53
200
) + ( -
1147
1250
) x + (
1247
10000
+
43
625
+
853
10000
) ÷ 10000 +
103
1000000
(1 + x )((( -
53
200
) + ( -
9117
10000
) x + (
33
400
+
303
5000
+
42
625
) ÷ 10000) ÷ (1 + x ) +
39
1000000
)(1 + x ) = 0
    Remove a bracket on the left of the equation:
      -
53
200
+ ( -
1147
1250
) x + (
1247
10000
+
43
625
+
853
10000
) ×
1
10000
+
103
1000000
(1 + x )((( -
53
200
) + ( -
9117
10000
) x + (
33
400
+
303
5000
+
42
625
) ÷ 10000) ÷ (1 + x ) +
39
1000000
)(1 + x ) = 0
    Remove a bracket on the left of the equation:
      -
53
200
1147
1250
x + (
1247
10000
+
43
625
+
853
10000
) ×
1
10000
+
103
1000000
(1 + x )((( -
53
200
) + ( -
9117
10000
) x + (
33
400
+
303
5000
+
42
625
) ÷ 10000) ÷ (1 + x ) +
39
1000000
)(1 + x ) = 0
    Remove a bracket on the left of the equation:
      -
53
200
1147
1250
x +
1247
10000
×
1
10000
+
43
625
×
1
10000
+
853
10000
×
1
10000
+
103
1000000
(1 + x )((( -
53
200
) + ( -
9117
10000
) x + (
33
400
+
303
5000
+
42
625
) ÷ 10000) ÷ (1 + x ) +
39
1000000
) = 0
    The equation is reduced to :
      -
53
200
1147
1250
x +
1247
100000000
+
43
6250000
+
853
100000000
+
103
1000000
(1 + x )((( -
53
200
) + ( -
9117
10000
) x + (
33
400
+
303
5000
+
42
625
) ÷ 10000) ÷ (1 + x ) +
39
1000000
)(1 + x ) = 0

    
        x≈0.012140 , 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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