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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+60)(10000/70)+x(150-10000/70) = 35200 .
    Question type: Equation
    Solution:Original question:
     ( x + 60)(10000 ÷ 70) + x (15010000 ÷ 70) = 35200
    Remove the bracket on the left of the equation:
     Left side of the equation = x (10000 ÷ 70) + 60(10000 ÷ 70) + x (15010000 ÷ 70)
                                             = x × 10000 ÷ 70 + 60(10000 ÷ 70) + x (15010000 ÷ 70)
                                             = x ×
1000
7
+ 60(10000 ÷ 70) + x (15010000 ÷ 70)
                                             =
1000
7
x + 60 × 10000 ÷ 70 + x (15010000 ÷ 70)
                                             =
1000
7
x +
60000
7
+ x (15010000 ÷ 70)
                                             =
1000
7
x +
60000
7
+ x × 150 x × 10000 ÷ 70
                                             =
1000
7
x +
60000
7
+ x × 150 x ×
1000
7
                                             = 150 x +
60000
7
    The equation is transformed into :
     150 x +
60000
7
= 35200

    Transposition :
     150 x = 35200
60000
7

    Combine the items on the right of the equation:
     150 x =
186400
7

    The coefficient of the unknown number is reduced to 1 :
      x =
186400
7
÷ 150
        =
186400
7
×
1
150
        =
3728
7
×
1
3

    We obtained :
      x =
3728
21
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 177.52381



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