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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 4x = 3.5+7(1.75÷100000×x)½ .
    Question type: Equation
    Solution:Original question:
     4 x =
7
2
+ 7(
7
4
÷ 100000 × x )(1 ÷ 2)
    Remove the bracket on the right of the equation:
     Right side of the equation =
7
2
+ 7 ×
7
4
÷ 100000 × x (1 ÷ 2)
                                               =
7
2
+
49
400000
x (1 ÷ 2)
                                               =
7
2
+
49
400000
x × 1 ÷ 2
                                               =
7
2
+
49
800000
x
    The equation is transformed into :
     4 x =
7
2
+
49
800000
x

    Transposition :
     4 x
49
800000
x =
7
2

    Combine the items on the left of the equation:
     
3199951
800000
x =
7
2

    The coefficient of the unknown number is reduced to 1 :
      x =
7
2
÷
3199951
800000
        =
7
2
×
800000
3199951
        = 7 ×
400000
3199951

    We obtained :
      x =
2800000
3199951
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 0.875013



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