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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 [(81644.43+a+10000)-45000]*10%-2520 = 1088.89+a .
    Question type: Equation
    Solution:Original question:
     ((
8164443
100
+ a + 10000)45000) ×
10
100
2520 =
108889
100
+ a
    Remove the bracket on the left of the equation:
     Left side of the equation = (
8164443
100
+ a + 10000) ×
10
100
45000 ×
10
100
2520
                                             = (
8164443
100
+ a + 10000) ×
10
100
45002520
                                             = (
8164443
100
+ a + 10000) ×
10
100
7020
                                             =
8164443
100
×
10
100
+ a ×
10
100
+ 10000 ×
10
100
7020
                                             =
8164443
1000
+ a ×
10
100
+ 10007020
                                             =
2144443
1000
+
10
100
a
    The equation is transformed into :
     
2144443
1000
+
10
100
a =
108889
100
+ a

    Transposition :
     
10
100
a a =
108889
100
2144443
1000

    Combine the items on the left of the equation:
     
9
10
a =
108889
100
2144443
1000

    Combine the items on the right of the equation:
     
9
10
a = -
1055553
1000

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
1055553
1000
=
9
10
a

    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 :
     
9
10
a =
1055553
1000

    The coefficient of the unknown number is reduced to 1 :
      a =
1055553
1000
÷
9
10
        =
1055553
1000
×
10
9
        =
351851
100
×
1
3

    We obtained :
      a =
351851
300
    This is the solution of the equation.

    Convert the result to decimal form :
      a = 1172.836667



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