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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 245.2/(93.72x+6.28)+525/(98.164x+1.836)+42/(93.72x+6.28)+55.64/(76x+24) = 25 .
    Question type: Equation
    Solution:Original question:
     
1226
5
 ÷ (
2343
25
 x +
157
25
) + 525 ÷ (
24541
250
 x +
459
250
) + 42 ÷ (
2343
25
 x +
157
25
) +
1391
25
 ÷ (76 x + 24) = 25
     Multiply both sides of the equation by:(
2343
25
 x +
157
25
)
     
1226
5
 + 525 ÷ (
24541
250
 x +
459
250
) × (
2343
25
 x +
157
25
) + 42 +
1391
25
 ÷ (76 x + 24) × (
2343
25
 x +
157
25
) = 25(
2343
25
 x +
157
25
)
    Remove a bracket on the left of the equation:：
     
1226
5
 + 525 ÷ (
24541
250
 x +
459
250
) ×
2343
25
 x + 525 ÷ (
24541
250
 x +
459
250
) ×
157
25
 + 42 +
1391
25
 ÷ (76 x + 24) × (
2343
25
 x +
157
25
) = 25(
2343
25
 x +
157
25
)
    Remove a bracket on the right of the equation:：
     
1226
5
 + 525 ÷ (
24541
250
 x +
459
250
) ×
2343
25
 x + 525 ÷ (
24541
250
 x +
459
250
) ×
157
25
 + 42 +
1391
25
 ÷ (76 x + 24) × (
2343
25
 x +
157
25
) = 25 ×
2343
25
 x + 25 ×
157
25
    The equation is reduced to :
     
1226
5
 + 49203 ÷ (
24541
250
 x +
459
250
) × x + 3297 ÷ (
24541
250
 x +
459
250
) + 42 +
1391
25
 ÷ (76 x + 24) × (
2343
25
 x +
157
25
) = 2343 x + 157
    The equation is reduced to :
     
1436
5
 + 49203 ÷ (
24541
250
 x +
459
250
) × x + 3297 ÷ (
24541
250
 x +
459
250
) +
1391
25
 ÷ (76 x + 24) × (
2343
25
 x +
157
25
) = 2343 x + 157
     Multiply both sides of the equation by:(
24541
250
 x +
459
250
)
     
1436
5
(
24541
250
 x +
459
250
) + 49203 x + 3297 +
1391
25
 ÷ (76 x + 24) × (
2343
25
 x +
157
25
)(
24541
250
 x +
459
250
) = 2343 x (
24541
250
 x +
459
250
) + 157(
24541
250
 x +
459
250
)
    Remove a bracket on the left of the equation:
     
1436
5
 ×
24541
250
 x +
1436
5
 ×
459
250
 + 49203 x + 3297 +
1391
25
 ÷ (76 x + 24) × (
2343
25
 x +
157
25
)(
24541
250
 x +
459
250
) = 2343 x (
24541
250
 x +
459
250
) + 157(
24541
250
 x +
459
250
)
    Remove a bracket on the right of the equation:：
     
1436
5
 ×
24541
250
 x +
1436
5
 ×
459
250
 + 49203 x + 3297 +
1391
25
 ÷ (76 x + 24) × (
2343
25
 x +
157
25
)(
24541
250
 x +
459
250
) = 2343 x ×
24541
250
 x + 2343 x ×
459
250
 + 157(
24541
250
 x +
459
250
)
    The equation is reduced to :
     
17620438
625
 x +
329562
625
 + 49203 x + 3297 +
1391
25
 ÷ (76 x + 24) × (
2343
25
 x +
157
25
)(
24541
250
 x +
459
250
) =
57499563
250
 x x +
1075437
250
 x + 157(
24541
250
 x +
459
250
)
    The equation is reduced to :
     
48372313
625
 x +
2390187
625
 +
1391
25
 ÷ (76 x + 24) × (
2343
25
 x +
157
25
)(
24541
250
 x +
459
250
) =
57499563
250
 x x +
1075437
250
 x + 157(
24541
250
 x +
459
250
)
     Multiply both sides of the equation by:(76 x + 24)
     
48372313
625
 x (76 x + 24) +
2390187
625
(76 x + 24) +
1391
25
(
2343
25
 x +
157
25
)(
24541
250
 x +
459
250
) =
57499563
250
 x x (76 x + 24) +
1075437
250
 x (76 x + 24) + 157(
24541
250
 x +
459
250
)(76 x + 24)
    Remove a bracket on the left of the equation:
     
48372313
625
 x × 76 x +
48372313
625
 x × 24 +
2390187
625
(76 x + 24) +
1391
25
(
2343
25
 x +
157
25
)(
24541
250
 x +
459
250
) =
57499563
250
 x x (76 x + 24) +
1075437
250
 x (76 x + 24) + 157(
24541
250
 x +
459
250
)(76 x + 24)
    Remove a bracket on the right of the equation:：
     
48372313
625
 x × 76 x +
48372313
625
 x × 24 +
2390187
625
(76 x + 24) +
1391
25
(
2343
25
 x +
157
25
)(
24541
250
 x +
459
250
) =
57499563
250
 x x × 76 x +
57499563
250
 x x × 24 +
1075437
250
 x (76 x + 24)
    The equation is reduced to :
     
3676295788
625
 x x +
1160935512
625
 x +
2390187
625
(76 x + 24) +
1391
25
(
2343
25
 x +
157
25
)(
24541
250
 x +
459
250
) =
2184983394
125
 x x x +
689994756
125
 x x +
1075437
250
 x (76 x + 24) + 157(
24541
250
 x +
459
250
)
    Remove a bracket on the left of the equation:
     
3676295788
625
 x x +
1160935512
625
 x +
2390187
625
 × 76 x +
2390187
625
 × 24 +
1391
25
(
2343
25
 x +
157
25
) =
2184983394
125
 x x x +
689994756
125
 x x +
1075437
250
 x (76 x + 24) + 157(
24541
250
 x +
459
250
)
    Remove a bracket on the right of the equation:：
     
3676295788
625
 x x +
1160935512
625
 x +
2390187
625
 × 76 x +
2390187
625
 × 24 +
1391
25
(
2343
25
 x +
157
25
) =
2184983394
125
 x x x +
689994756
125
 x x +
1075437
250
 x × 76 x +
1075437
250
    The equation is reduced to :
     
3676295788
625
 x x +
1160935512
625
 x +
181654212
625
 x +
57364488
625
 +
1391
25
(
2343
25
 x +
157
25
)(
24541
250
 x +
459
250
) =
2184983394
125
 x x x +
689994756
125
 x x +
40866606
125
 x x +
12905244
125
 x
    The equation is reduced to :
     
3676295788
625
 x x +
1342589724
625
 x +
57364488
625
 +
1391
25
(
2343
25
 x +
157
25
)(
24541
250
 x +
459
250
) =
2184983394
125
 x x x +
689994756
125
 x x +
40866606
125
 x x +
12905244
125
 x
    Remove a bracket on the left of the equation:
     
3676295788
625
 x x +
1342589724
625
 x +
57364488
625
 +
1391
25
 ×
2343
25
 x (
24541
250
 x +
459
250
) +
1391
25
 ×
157
25
 =
2184983394
125
 x x x +
689994756
125
 x x +
40866606
125
 x x +
12905244
125
 x
    Remove a bracket on the right of the equation:：
     
3676295788
625
 x x +
1342589724
625
 x +
57364488
625
 +
1391
25
 ×
2343
25
 x (
24541
250
 x +
459
250
) +
1391
25
 ×
157
25
 =
2184983394
125
 x x x +
689994756
125
 x x +
40866606
125
 x x +
12905244
125
 x
    The equation is reduced to :
     
3676295788
625
 x x +
1342589724
625
 x +
57364488
625
 +
3259113
625
 x (
24541
250
 x +
459
250
) +
218387
625
(
24541
250
 x +
459
250
) =
2184983394
125
 x x x +
689994756
125
 x x +
40866606
125
 x x +
12905244
125
 x
    Remove a bracket on the left of the equation:
     
3676295788
625
 x x +
1342589724
625
 x +
57364488
625
 +
3259113
625
 x ×
24541
250
 x +
3259113
625
 x =
2184983394
125
 x x x +
689994756
125
 x x +
40866606
125
 x x +
12905244
125
 x

    The solution of the equation:
        x1≈-0.315789 , keep 6 decimal places
        x2≈-0.302902 , keep 6 decimal places
        x3≈-0.018703 , keep 6 decimal places
        x4≈0.317979 , keep 6 decimal places    
    There are 4 solution(s).

解程的详细方法请参阅：《方程的解法》


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