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    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 38584*(0.2x+0.5)+1201*(0.8x-2)+18256x+44638*(0.2x+0.8x*1.3) = 800000 .
    Question type: Equation
    Solution:Original question:
     38584(
1
5
x +
1
2
) + 1201(
4
5
x 2) + 18256 x + 44638(
1
5
x +
4
5
x ×
13
10
) = 800000
    Remove the bracket on the left of the equation:
     Left side of the equation = 38584 ×
1
5
x + 38584 ×
1
2
+ 1201(
4
5
x 2) + 18256 x + 44638(
1
5
x +
4
5
x ×
13
10
)
                                             =
38584
5
x + 19292 + 1201(
4
5
x 2) + 18256 x + 44638(
1
5
x +
4
5
x ×
13
10
)
                                             =
129864
5
x + 19292 + 1201(
4
5
x 2) + 44638(
1
5
x +
4
5
x ×
13
10
)
                                             =
129864
5
x + 19292 + 1201 ×
4
5
x 1201 × 2 + 44638(
1
5
x +
4
5
x ×
13
10
)
                                             =
129864
5
x + 19292 +
4804
5
x 2402 + 44638(
1
5
x +
4
5
x ×
13
10
)
                                             =
134668
5
x + 16890 + 44638(
1
5
x +
4
5
x ×
13
10
)
                                             =
134668
5
x + 16890 + 44638 ×
1
5
x + 44638 ×
4
5
x ×
13
10
                                             =
134668
5
x + 16890 +
44638
5
x +
1160588
25
x
                                             =
2057118
25
x + 16890
    The equation is transformed into :
     
2057118
25
x + 16890 = 800000

    Transposition :
     
2057118
25
x = 80000016890

    Combine the items on the right of the equation:
     
2057118
25
x = 783110

    The coefficient of the unknown number is reduced to 1 :
      x = 783110 ÷
2057118
25
        = 783110 ×
25
2057118
        = 391555 ×
25
1028559

    We obtained :
      x =
9788875
1028559
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 9.517077



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