Mathematics
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current location:Mathematical operation > History of Inequality Computation > Answer
    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation (9000-0.466*x)/(49.5*x) = 0.038 .
    Question type: Equation
    Solution:Original question:
     (9000
233
500
x ) ÷ (
99
2
x ) =
19
500
     Multiply both sides of the equation by:(
99
2
x )
     (9000
233
500
x ) =
19
500
(
99
2
x )
    Remove a bracket on the left of the equation::
     9000
233
500
x =
19
500
(
99
2
x )
    Remove a bracket on the right of the equation::
     9000
233
500
x =
19
500
×
99
2
x
    The equation is reduced to :
     9000
233
500
x =
1881
1000
x

    Transposition :
      -
233
500
x
1881
1000
x = - 9000

    Combine the items on the left of the equation:
      -
2347
1000
x = - 9000

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     9000 =
2347
1000
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 :
     
2347
1000
x = 9000

    The coefficient of the unknown number is reduced to 1 :
      x = 9000 ÷
2347
1000
        = 9000 ×
1000
2347

    We obtained :
      x =
9000000
2347
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 3834.682573




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