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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 (X-300)*0.75/3300 = (x-300-360)*0.75/3000 .
    Question type: Equation
    Solution:Original question:
     ( X 300) ×
3
4
÷ 3300 = ( X 300360) ×
3
4
÷ 3000
     Left side of the equation = ( X 300) ×
1
4400
    The equation is transformed into :
     ( X 300) ×
1
4400
= ( X 300360) ×
3
4
÷ 3000
    Remove the bracket on the left of the equation:
     Left side of the equation = X ×
1
4400
300 ×
1
4400
                                             = X ×
1
4400
3
44
    The equation is transformed into :
     
1
4400
X
3
44
= ( X 300360) ×
3
4
÷ 3000
     Right side of the equation = ( X 300360) ×
1
4000
    The equation is transformed into :
     
1
4400
X
3
44
= ( X 300360) ×
1
4000
    Remove the bracket on the right of the equation:
     Right side of the equation = X ×
1
4000
300 ×
1
4000
360 ×
1
4000
                                               = X ×
1
4000
3
40
9
100
                                               =
1
4000
X
33
200
    The equation is transformed into :
     
1
4400
X
3
44
=
1
4000
X
33
200

    Transposition :
     
1
4400
X
1
4000
X = -
33
200
+
3
44

    Combine the items on the left of the equation:
      -
1
44000
X = -
33
200
+
3
44

    Combine the items on the right of the equation:
      -
1
44000
X = -
213
2200

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
213
2200
=
1
44000
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
44000
X =
213
2200

    The coefficient of the unknown number is reduced to 1 :
      X =
213
2200
÷
1
44000
        =
213
2200
× 44000
        = 213 × 20

    We obtained :
      X = 4260
    This is the solution of the equation.



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