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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 0.064876712 = (0.1+(0.5)*((x-0.004)/0.016))/3600*1000 .
    Question type: Equation
    Solution:Original question:
     
8109589
125000000
= (
1
10
+ (
1
2
)(( x
1
250
) ÷
2
125
)) ÷ 3600 × 1000
     Right side of the equation = (
1
10
+ (
1
2
)(( x
1
250
) ÷
2
125
)) ×
5
18
    The equation is transformed into :
     
8109589
125000000
= (
1
10
+ (
1
2
)(( x
1
250
) ÷
2
125
)) ×
5
18
    Remove the bracket on the right of the equation:
     Right side of the equation =
1
10
×
5
18
+ (
1
2
)(( x
1
250
) ÷
2
125
) ×
5
18
                                               =
1
36
+ (
1
2
)(( x
1
250
) ÷
2
125
) ×
5
18
                                               =
1
36
+
1
2
(( x
1
250
) ÷
2
125
) ×
5
18
                                               =
1
36
+
5
36
(( x
1
250
) ÷
2
125
)
                                               =
1
36
+
5
36
( x
1
250
) ÷
2
125
                                               =
1
36
+
625
72
( x
1
250
)
                                               =
1
36
+
625
72
x
625
72
×
1
250
                                               =
1
36
+
625
72
x
5
144
                                               = -
1
144
+
625
72
x
    The equation is transformed into :
     
8109589
125000000
= -
1
144
+
625
72
x

    Transposition :
      -
625
72
x = -
1
144
8109589
125000000

    
        x≈0.008274 , 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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