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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 ((2584+1352*4-126*4-6140)/6140)*0.5 = ((1845+X)-3716)/3716 .
    Question type: Equation
    Solution:Original question:
     ((2584 + 1352 × 4126 × 46140) ÷ 6140) ×
1
2
= ((1845 + X )3716) ÷ 3716
    Remove the bracket on the left of the equation:
     Left side of the equation = (2584 + 1352 × 4126 × 46140) ÷ 6140 ×
1
2
                                             = (2584 + 1352 × 4126 × 46140) ×
1
12280
                                             = 2584 ×
1
12280
+ 1352 × 4 ×
1
12280
126 × 4 ×
1
12280
6140 ×
1
12280
                                             =
323
1535
+
676
1535
63
1535
1
2
                                             =
337
3070
    The equation is transformed into :
     
337
3070
= ((1845 + X )3716) ÷ 3716
    Remove the bracket on the right of the equation:
     Right side of the equation = (1845 + X ) ×
1
3716
3716 ×
1
3716
                                               = (1845 + X ) ×
1
3716
1
                                               = 1845 ×
1
3716
+ X ×
1
3716
1
                                               =
1845
3716
+ X ×
1
3716
1
                                               = -
1871
3716
+
1
3716
X
    The equation is transformed into :
     
337
3070
= -
1871
3716
+
1
3716
X

    Transposition :
      -
1
3716
X = -
1871
3716
337
3070

    Combine the items on the right of the equation:
      -
1
3716
X = -
3498131
5704060

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
3498131
5704060
=
1
3716
X

    If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
     
1
3716
X =
3498131
5704060

    The coefficient of the unknown number is reduced to 1 :
      X =
3498131
5704060
÷
1
3716
        =
3498131
5704060
× 3716
        =
3498131
1426015
× 929

    We obtained :
      X =
3249763699
1426015
    This is the solution of the equation.

    By reducing fraction, we can get:
      X =
3498131
1535

    Convert the result to decimal form :
      X = 2278.912704



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