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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 3/4[4/3(1/2*x-1)+8] = 3/2*x+1 .
    Question type: Equation
    Solution:Original question:
     3 ÷ 4 × (4 ÷ 3 × (1 ÷ 2 × x 1) + 8) = 3 ÷ 2 × x + 1
     Left side of the equation =
3
4
(4 ÷ 3 × (1 ÷ 2 × x 1) + 8)
    The equation is transformed into :
     
3
4
(4 ÷ 3 × (1 ÷ 2 × x 1) + 8) = 3 ÷ 2 × x + 1
    Remove the bracket on the left of the equation:
     Left side of the equation =
3
4
× 4 ÷ 3 × (1 ÷ 2 × x 1) +
3
4
× 8
                                             = 1(1 ÷ 2 × x 1) + 6
                                             = 1 × 1 ÷ 2 × x 1 × 1 + 6
                                             =
1
2
x 1 + 6
                                             =
1
2
x + 5
    The equation is transformed into :
     
1
2
x + 5 = 3 ÷ 2 × x + 1
     Right side of the equation =
3
2
x + 1
    The equation is transformed into :
     
1
2
x + 5 =
3
2
x + 1

    Transposition :
     
1
2
x
3
2
x = 15
    i.e.
      - x = 15

    Combine the items on the left of the equation:
      - x = 15

    Combine the items on the right of the equation:
      - x = - 4

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     4 = 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 :
      x = 4
    This is the solution of the equation.
    This is the solution of the equation.



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