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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 9.06÷(40÷X+8.5) = 8.8÷(50÷X+6.8) .
    Question type: Equation
    Solution:Original question:
     
453
50
 ÷ (40 ÷ X +
17
2
) =
44
5
 ÷ (50 ÷ X +
34
5
)
     Multiply both sides of the equation by:(40 ÷ X +
17
2
) ,  (50 ÷ X +
34
5
)
     
453
50
(50 ÷ X +
34
5
) =
44
5
(40 ÷ X +
17
2
)
    Remove a bracket on the left of the equation:：
     
453
50
 × 50 ÷ X +
453
50
 ×
34
5
 =
44
5
(40 ÷ X +
17
2
)
    Remove a bracket on the right of the equation:：
     
453
50
 × 50 ÷ X +
453
50
 ×
34
5
 =
44
5
 × 40 ÷ X +
44
5
 ×
17
2
    The equation is reduced to :
     453 ÷ X +
7701
125
 = 352 ÷ X +
374
5
     Multiply both sides of the equation by: X
     453 +
7701
125
 X = 352 ÷ 1 × 1 +
374
5
 X

    Transposition :
     
7701
125
 X −
374
5
 X = 352 ÷ 1 × 1 − 453

    Calculate the items on the right of the equation:
     
7701
125
 X −
374
5
 X = 352 − 453

    Combine the items on the left of the equation:
      -
1649
125
 X = 352 − 453

    Combine the items on the right of the equation:
      -
1649
125
 X = - 101

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     101 =
1649
125
 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 :
     
1649
125
 X = 101

    The coefficient of the unknown number is reduced to 1 :
      X = 101 ÷
1649
125
        = 101 ×
125
1649

    We obtained :
      X =
12625
1649
    This is the solution of the equation.

    Convert the result to decimal form :
      X = 7.656155



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