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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 10*(380x-380*380)/((380+380)*(380x)) = 0.012 .
    Question type: Equation
    Solution:Original question:
     10(380 x 380 × 380) ÷ ((380 + 380)(380 x )) =
3
250
     Multiply both sides of the equation by:((380 + 380)(380 x ))
     10(380 x 380 × 380) =
3
250
((380 + 380)(380 x ))
    Remove a bracket on the left of the equation::
     10 × 380 x 10 × 380 × 380 =
3
250
((380 + 380)(380 x ))
    Remove a bracket on the right of the equation::
     10 × 380 x 10 × 380 × 380 =
3
250
(380 + 380)(380 x )
    The equation is reduced to :
     3800 x 1444000 =
3
250
(380 + 380)(380 x )
    Remove a bracket on the right of the equation::
     3800 x 1444000 =
3
250
× 380(380 x ) +
3
250
× 380(380 x )
    The equation is reduced to :
     3800 x 1444000 =
114
25
(380 x ) +
114
25
(380 x )
    Remove a bracket on the right of the equation::
     3800 x 1444000 =
114
25
× 380 x +
114
25
(380 x )
    The equation is reduced to :
     3800 x 1444000 =
8664
5
x +
114
25
(380 x )
    Remove a bracket on the right of the equation::
     3800 x 1444000 =
8664
5
x +
114
25
× 380 x
    The equation is reduced to :
     3800 x 1444000 =
8664
5
x +
8664
5
x
    The equation is reduced to :
     3800 x 1444000 =
17328
5
x

    Transposition :
     3800 x
17328
5
x = 1444000

    Combine the items on the left of the equation:
     
1672
5
x = 1444000

    The coefficient of the unknown number is reduced to 1 :
      x = 1444000 ÷
1672
5
        = 1444000 ×
5
1672
        = 180500 ×
5
209

    We obtained :
      x =
902500
209
    This is the solution of the equation.

    By reducing fraction, we can get:
      x =
47500
11

    Convert the result to decimal form :
      x = 4318.181818



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