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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 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 .
    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
     Left side of the equation =
5747436
25
 +
10557
2
( x − 36)
    The equation is transformed into :
     
5747436
25
 +
10557
2
( x − 36) = 308 × 443 +
9
10
 × 402 × 440 −
9
10
 × 509 × 459 − (660(
5
4
 x − 61)) ÷
5
4
 × x
    Remove the bracket on the left of the equation:
     Left side of the equation =
5747436
25
 +
10557
2
 x −
10557
2
 × 36
                                             =
5747436
25
 +
10557
2
 x − 190026
                                             =
996786
25
 +
10557
2
 x
    The equation is transformed into :
     
996786
25
 +
10557
2
 x = 308 × 443 +
9
10
 × 402 × 440 −
9
10
 × 509 × 459 − (660(
5
4
 x − 61)) ÷
5
4
 × x
     Right side of the equation = 136444 + 159192 −
2102679
10
 − (660(
5
4
 x − 61)) ×
4
5
 x
                                               =
853681
10
 − (660(
5
4
 x − 61)) ×
4
5
 x
    The equation is transformed into :
     
996786
25
 +
10557
2
 x =
853681
10
 − (660(
5
4
 x − 61)) ×
4
5
 x
    Remove the bracket on the right of the equation:
     Right side of the equation =
853681
10
 − 660(
5
4
 x − 61) ×
4
5
 x
                                               =
853681
10
 − 528(
5
4
 x − 61) x
                                               =
853681
10
 − 528 ×
5
4
 x x + 528 × 61 x
                                               =
853681
10
 − 660 x x + 32208 x
    The equation is transformed into :
     
996786
25
 +
10557
2
 x =
853681
10
 − 660 x x + 32208 x

    The solution of the equation:
        x1≈-1.624773 , keep 6 decimal places
        x2≈42.427046 , 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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