Mathematics
         
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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 (1/4x+7/10x+1)-(x+2) = 2 .
    Question type: Equation
    Solution:Original question:
     (1 ÷ 4 × x + 7 ÷ 10 × x + 1)( x + 2) = 2
    Remove the bracket on the left of the equation:
     Left side of the equation = 1 ÷ 4 × x + 7 ÷ 10 × x + 1( x + 2)
                                             =
1
4
x +
7
10
x + 1( x + 2)
                                             =
19
20
x + 1( x + 2)
                                             =
19
20
x + 1 x 2
                                             = -
1
20
x 1
    The equation is transformed into :
      -
1
20
x 1 = 2

    Transposition :
      -
1
20
x = 2 + 1

    Combine the items on the right of the equation:
      -
1
20
x = 3

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
      - 3 =
1
20
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
20
x = - 3

    The coefficient of the unknown number is reduced to 1 :
      x = - 3 ÷
1
20
        = - 3 × 20

    We obtained :
      x = - 60
    This is the solution of the equation.



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