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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.
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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 0.9*26.28*270*36+19.55*270*(x-36) = -308*443-0.9*402*440+0.9*509*459+(660*(1.25x-61))/(1.25x-36) .
    Question type: Equation
    Solution:Original question:
     
9
10
 ×
657
25
 × 270 × 36 +
391
20
 × 270( x − 36) = - 308 × 443 −
9
10
 × 402 × 440 +
9
10
 × 509 × 459 + (660(
5
4
 x − 61)) ÷ (
5
4
 x − 36)
     Multiply both sides of the equation by:(
5
4
 x − 36)
     
9
10
 ×
657
25
 × 270 × 36(
5
4
 x − 36) +
391
20
 × 270( x − 36)(
5
4
 x − 36) = - 308 × 443(
5
4
 x − 36) −
9
10
 × 402 × 440(
5
4
 x − 36) +
9
10
 × 509 × 459(
5
4
 x − 36) + (660(
5
4
 x − 61))
    Remove a bracket on the left of the equation:：
     
9
10
 ×
657
25
 × 270 × 36 ×
5
4
 x −
9
10
 ×
657
25
 × 270 × 36 × 36 +
391
20
 = - 308 × 443(
5
4
 x − 36) −
9
10
 × 402 × 440(
5
4
 x − 36) +
9
10
 × 509 × 459(
5
4
 x − 36) + (660(
5
4
 x − 61))
    Remove a bracket on the right of the equation:：
     
9
10
 ×
657
25
 × 270 × 36 ×
5
4
 x −
9
10
 ×
657
25
 × 270 × 36 × 36 +
391
20
 = - 308 × 443 ×
5
4
 x + 308 × 443 × 36 −
9
10
 × 402 × 440(
5
4
 x − 36) +
9
10
    The equation is reduced to :
     
1436859
5
 x −
206907696
25
 +
10557
2
( x − 36)(
5
4
 x − 36) = - 170555 x + 4911984 − 159192(
5
4
 x − 36) +
2102679
10
(
5
4
 x − 36) + (660(
5
4
 x − 61))
    Remove a bracket on the left of the equation:
     
1436859
5
 x −
206907696
25
 +
10557
2
 x (
5
4
 x − 36) −
10557
2
 × 36(
5
4
 x − 36) = - 170555 x + 4911984 − 159192(
5
4
 x − 36) +
2102679
10
(
5
4
 x − 36) + (660(
5
4
 x − 61))
    Remove a bracket on the right of the equation:：
     
1436859
5
 x −
206907696
25
 +
10557
2
 x (
5
4
 x − 36) −
10557
2
 × 36(
5
4
 x − 36) = - 170555 x + 4911984 − 159192 ×
5
4
 x + 159192 × 36 +
2102679
10
(
5
4
 x − 36) + (660(
5
4
 x − 61))
    The equation is reduced to :
     
1436859
5
 x −
206907696
25
 +
10557
2
 x (
5
4
 x − 36) − 190026(
5
4
 x − 36) = - 170555 x + 4911984 − 198990 x + 5730912 +
2102679
10
(
5
4
 x − 36) + (660(
5
4
 x − 61))
    The equation is reduced to :
     
1436859
5
 x −
206907696
25
 +
10557
2
 x (
5
4
 x − 36) − 190026(
5
4
 x − 36) = - 369545 x + 10642896 +
2102679
10
(
5
4
 x − 36) + (660(
5
4
 x − 61))
    Remove a bracket on the left of the equation:
     
1436859
5
 x −
206907696
25
 +
10557
2
 x ×
5
4
 x −
10557
2
 x × 36 − 190026(
5
4
 x − 36) = - 369545 x + 10642896 +
2102679
10
(
5
4
 x − 36) + (660(
5
4
 x − 61))
    Remove a bracket on the right of the equation:：
     
1436859
5
 x −
206907696
25
 +
10557
2
 x ×
5
4
 x −
10557
2
 x × 36 − 190026(
5
4
 x − 36) = - 369545 x + 10642896 +
2102679
10
 ×
5
4
 x −
2102679
10
 × 36 + (660(
5
4
 x − 61))
    The equation is reduced to :
     
1436859
5
 x −
206907696
25
 +
52785
8
 x x − 190026 x − 190026(
5
4
 x − 36) = - 369545 x + 10642896 +
2102679
8
 x −
37848222
5
 + (660(
5
4
 x − 61))
    The equation is reduced to :
     
486729
5
 x −
206907696
25
 +
52785
8
 x x − 190026(
5
4
 x − 36) = -
853681
8
 x +
15366258
5
 + (660(
5
4
 x − 61))
    Remove a bracket on the left of the equation:
     
486729
5
 x −
206907696
25
 +
52785
8
 x x − 190026 ×
5
4
 x + 190026 × 36 = -
853681
8
 x +
15366258
5
 + (660(
5
4
 x − 61))
    Remove a bracket on the right of the equation:：
     
486729
5
 x −
206907696
25
 +
52785
8
 x x − 190026 ×
5
4
 x + 190026 × 36 = -
853681
8
 x +
15366258
5
 + 660(
5
4
 x − 61)
    The equation is reduced to :
     
486729
5
 x −
206907696
25
 +
52785
8
 x x −
475065
2
 x + 6840936 = -
853681
8
 x +
15366258
5
 + 660(
5
4
 x − 61)
    The equation is reduced to :
      -
1401867
10
 x −
35884296
25
 +
52785
8
 x x = -
853681
8
 x +
15366258
5
 + 660(
5
4
 x − 61)
    Remove a bracket on the right of the equation:：
      -
1401867
10
 x −
35884296
25
 +
52785
8
 x x = -
853681
8
 x +
15366258
5
 + 660 ×
5
4
 x − 660 × 61
    The equation is reduced to :
      -
1401867
10
 x −
35884296
25
 +
52785
8
 x x = -
853681
8
 x +
15366258
5
 + 825 x − 40260
    The equation is reduced to :
      -
1401867
10
 x −
35884296
25
 +
52785
8
 x x = -
847081
8
 x +
15164958
5

    The solution of the equation:
        x1≈-23.553549 , keep 6 decimal places
        x2≈28.752234 , keep 6 decimal places    
    There are 2 solution(s).

解程的详细方法请参阅：《方程的解法》


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