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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 1.2 = 1968x/(576×(8.25+x)+1085.99-4424.31) .
    Question type: Equation
    Solution:Original question:
     
6
5
 = 1968 x ÷ (576(
33
4
 + x ) +
108599
100
 −
442431
100
)
     Multiply both sides of the equation by:(576(
33
4
 + x ) +
108599
100
 −
442431
100
)
     
6
5
(576(
33
4
 + x ) +
108599
100
 −
442431
100
) = 1968 x
    Remove a bracket on the left of the equation:：
     
6
5
 × 576(
33
4
 + x ) +
6
5
 ×
108599
100
 −
6
5
 ×
442431
100
 = 1968 x
    The equation is reduced to :
     
3456
5
(
33
4
 + x ) +
325797
250
 −
1327293
250
 = 1968 x
    The equation is reduced to :
     
3456
5
(
33
4
 + x ) −
500748
125
 = 1968 x
    Remove a bracket on the left of the equation:
     
3456
5
 ×
33
4
 +
3456
5
 x −
500748
125
 = 1968 x
    The equation is reduced to :
     
28512
5
 +
3456
5
 x −
500748
125
 = 1968 x
    The equation is reduced to :
     
212052
125
 +
3456
5
 x = 1968 x

    Transposition :
     
3456
5
 x − 1968 x = -
212052
125

    Combine the items on the left of the equation:
      -
6384
5
 x = -
212052
125

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
212052
125
 =
6384
5
 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 :
     
6384
5
 x =
212052
125

    The coefficient of the unknown number is reduced to 1 :
      x =
212052
125
 ÷
6384
5
        =
212052
125
 ×
5
6384
        =
17671
25
 ×
1
532

    We obtained :
      x =
17671
13300
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 1.328647



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