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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 150*27.5x/(x+0.0397)*150*(1-0.00205/3x) = 157*360+157*200*(4.565-35x)/150-200*157*0.0018+240000*0.00397*360*50 .
    Question type: Equation
    Solution:Original question:
     150 ×
55
2
x ÷ ( x +
397
10000
) × 150(1
41
20000
÷ 3 × x ) = 157 × 360 + 157 × 200(
913
200
35 x ) ÷ 150200 × 157 ×
9
5000
+ 240000 ×
397
100000
× 360
     Multiply both sides of the equation by:( x +
397
10000
)
     150 ×
55
2
x × 150(1
41
20000
÷ 3 × x ) = 157 × 360( x +
397
10000
) + 157 × 200(
913
200
35 x ) ÷ 150 × ( x +
397
10000
)200 × 157 ×
9
5000
( x +
397
10000
)
    Remove a bracket on the left of the equation::
     150 ×
55
2
x × 150 × 1150 ×
55
2
x × 150 ×
41
20000
÷ 3 × x = 157 × 360( x +
397
10000
) + 157 × 200(
913
200
35 x ) ÷ 150 × ( x +
397
10000
)200 × 157 ×
9
5000
( x +
397
10000
)
    Remove a bracket on the right of the equation::
     150 ×
55
2
x × 150 × 1150 ×
55
2
x × 150 ×
41
20000
÷ 3 × x = 157 × 360 x + 157 × 360 ×
397
10000
+ 157 × 200(
913
200
35 x ) ÷ 150 × ( x +
397
10000
)200
    The equation is reduced to :
     618750 x
6765
16
x x = 56520 x +
560961
250
+
628
3
(
913
200
35 x )( x +
397
10000
)
1413
25
( x +
397
10000
) + 17150400( x +
397
10000
)
    Remove a bracket on the right of the equation::
     618750 x
6765
16
x x = 56520 x +
560961
250
+
628
3
×
913
200
( x +
397
10000
)
628
3
× 35 x ( x +
397
10000
)
1413
25
( x +
397
10000
)
    The equation is reduced to :
     618750 x
6765
16
x x = 56520 x +
560961
250
+
143341
150
( x +
397
10000
)
21980
3
x ( x +
397
10000
)
1413
25
( x +
397
10000
) + 17150400( x +
397
10000
)
    Remove a bracket on the right of the equation::
     618750 x
6765
16
x x = 56520 x +
560961
250
+
143341
150
x +
143341
150
×
397
10000
21980
3
x ( x +
397
10000
)
1413
25
( x +
397
10000
)
    The equation is reduced to :
     618750 x
6765
16
x x = 56520 x +
560961
250
+
143341
150
x +
56906377
1500000
21980
3
x ( x +
397
10000
)
1413
25
( x +
397
10000
) + 17150400

    the solutions is:
        x≈2402.869777 , keep 6 decimal places
    
    There are 1 solution(s).


解方程的详细方法请参阅:《方程的解法》



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