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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 1.57*9*(X+300)+1.55*30*(X+200)+1.55*90*(X+100)+156*1.57*X = 600000 .
    Question type: Equation
    Solution:Original question:
     
157
100
× 9( X + 300) +
31
20
× 30( X + 200) +
31
20
× 90( X + 100) + 156 ×
157
100
X = 600000
     Left side of the equation =
1413
100
( X + 300) +
93
2
( X + 200) +
279
2
( X + 100) +
6123
25
X
    The equation is transformed into :
     
1413
100
( X + 300) +
93
2
( X + 200) +
279
2
( X + 100) +
6123
25
X = 600000
    Remove the bracket on the left of the equation:
     Left side of the equation =
1413
100
X +
1413
100
× 300 +
93
2
( X + 200) +
279
2
( X + 100) +
6123
25
X
                                             =
1413
100
X + 4239 +
93
2
( X + 200) +
279
2
( X + 100) +
6123
25
X
                                             =
5181
20
X + 4239 +
93
2
( X + 200) +
279
2
( X + 100)
                                             =
5181
20
X + 4239 +
93
2
X +
93
2
× 200 +
279
2
( X + 100)
                                             =
5181
20
X + 4239 +
93
2
X + 9300 +
279
2
( X + 100)
                                             =
6111
20
X + 13539 +
279
2
( X + 100)
                                             =
6111
20
X + 13539 +
279
2
X +
279
2
× 100
                                             =
6111
20
X + 13539 +
279
2
X + 13950
                                             =
8901
20
X + 27489
    The equation is transformed into :
     
8901
20
X + 27489 = 600000

    Transposition :
     
8901
20
X = 60000027489

    Combine the items on the right of the equation:
     
8901
20
X = 572511

    The coefficient of the unknown number is reduced to 1 :
      X = 572511 ÷
8901
20
        = 572511 ×
20
8901
        = 190837 ×
20
2967

    We obtained :
      X =
3816740
2967
    This is the solution of the equation.

    Convert the result to decimal form :
      X = 1286.397034



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