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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 (9500+40+X)*(4.69125%+1.8%) = 4X .
    Question type: Equation
    Solution:Original question:
     (9500 + 40 + X )(
3753
80000
+
9
500
) = 4 X
    Remove the bracket on the left of the equation:
     Left side of the equation = 9500(
3753
80000
+
9
500
) + 40(
3753
80000
+
9
500
) + X (
3753
80000
+
9
500
)
                                             = 9500 ×
3753
80000
+ 9500 ×
9
500
+ 40(
3753
80000
+
9
500
) + X (
3753
80000
+
9
500
)
                                             =
71307
160
+ 171 + 40(
3753
80000
+
9
500
) + X (
3753
80000
+
9
500
)
                                             =
98667
160
+ 40(
3753
80000
+
9
500
) + X (
3753
80000
+
9
500
)
                                             =
98667
160
+ 40 ×
3753
80000
+ 40 ×
9
500
+ X (
3753
80000
+
9
500
)
                                             =
98667
160
+
3753
2000
+
18
25
+ X (
3753
80000
+
9
500
)
                                             =
2477061
4000
+ X (
3753
80000
+
9
500
)
                                             =
2477061
4000
+ X ×
3753
80000
+ X ×
9
500
                                             =
2477061
4000
+
5193
80000
X
    The equation is transformed into :
     
2477061
4000
+
5193
80000
X = 4 X

    Transposition :
     
5193
80000
X 4 X = -
2477061
4000

    Combine the items on the left of the equation:
      -
314807
80000
X = -
2477061
4000

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
2477061
4000
=
314807
80000
X

    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 :
     
314807
80000
X =
2477061
4000

    The coefficient of the unknown number is reduced to 1 :
      X =
2477061
4000
÷
314807
80000
        =
2477061
4000
×
80000
314807
        = 2477061 ×
20
314807

    We obtained :
      X =
49541220
314807
    This is the solution of the equation.

    Convert the result to decimal form :
      X = 157.370135



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