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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*84+19.55*270*(x-84) = 462*443+0.9*509*459-308*443-0.9*402*440 .
    Question type: Equation
    Solution:Original question:
     
9
10
 ×
657
25
 × 270 × 84 +
391
20
 × 270( x − 84) = 462 × 443 +
9
10
 × 509 × 459 − 308 × 443 −
9
10
 × 402 × 440
     Left side of the equation =
13410684
25
 +
10557
2
( x − 84)
    The equation is transformed into :
     
13410684
25
 +
10557
2
( x − 84) = 462 × 443 +
9
10
 × 509 × 459 − 308 × 443 −
9
10
 × 402 × 440
    Remove the bracket on the left of the equation:
     Left side of the equation =
13410684
25
 +
10557
2
 x −
10557
2
 × 84
                                             =
13410684
25
 +
10557
2
 x − 443394
                                             =
2325834
25
 +
10557
2
 x
    The equation is transformed into :
     
2325834
25
 +
10557
2
 x = 462 × 443 +
9
10
 × 509 × 459 − 308 × 443 −
9
10
 × 402 × 440
     Right side of the equation = 204666 +
2102679
10
 − 136444 − 159192
                                               =
1192979
10
    The equation is transformed into :
     
2325834
25
 +
10557
2
 x =
1192979
10

    Transposition :
     
10557
2
 x =
1192979
10
 −
2325834
25

    Combine the items on the right of the equation:
     
10557
2
 x =
1313227
50

    The coefficient of the unknown number is reduced to 1 :
      x =
1313227
50
 ÷
10557
2
        =
1313227
50
 ×
2
10557
        =
1313227
25
 ×
1
10557

    We obtained :
      x =
1313227
263925
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 4.975758



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