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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 (3.7×x)×1.5÷2+(0.6+x)×0.9÷2 = 5.16 .
    Question type: Equation
    Solution:Original question:
     (
37
10
x ) ×
3
2
÷ 2 + (
3
5
+ x ) ×
9
10
÷ 2 =
129
25
     Left side of the equation = (
37
10
x ) ×
3
4
+ (
3
5
+ x ) ×
9
20
    The equation is transformed into :
     (
37
10
x ) ×
3
4
+ (
3
5
+ x ) ×
9
20
=
129
25
    Remove the bracket on the left of the equation:
     Left side of the equation =
37
10
x ×
3
4
+ (
3
5
+ x ) ×
9
20
                                             =
111
40
x + (
3
5
+ x ) ×
9
20
                                             =
111
40
x +
3
5
×
9
20
+ x ×
9
20
                                             =
111
40
x +
27
100
+ x ×
9
20
                                             =
129
40
x +
27
100
    The equation is transformed into :
     
129
40
x +
27
100
=
129
25

    Transposition :
     
129
40
x =
129
25
27
100

    Combine the items on the right of the equation:
     
129
40
x =
489
100

    The coefficient of the unknown number is reduced to 1 :
      x =
489
100
÷
129
40
        =
489
100
×
40
129
        =
163
5
×
2
43

    We obtained :
      x =
326
215
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 1.516279



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