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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 (42000-0.7×70x×0.063)÷(0.3×70x+0.05×70x) = 0.038 .
    Question type: Equation
    Solution:Original question:
     (42000
7
10
× 70 x ×
63
1000
) ÷ (
3
10
× 70 x +
1
20
× 70 x ) =
19
500
     Multiply both sides of the equation by:(
3
10
× 70 x +
1
20
× 70 x )
     (42000
7
10
× 70 x ×
63
1000
) =
19
500
(
3
10
× 70 x +
1
20
× 70 x )
    Remove a bracket on the left of the equation::
     42000
7
10
× 70 x ×
63
1000
=
19
500
(
3
10
× 70 x +
1
20
× 70 x )
    Remove a bracket on the right of the equation::
     42000
7
10
× 70 x ×
63
1000
=
19
500
×
3
10
× 70 x +
19
500
×
1
20
× 70 x
    The equation is reduced to :
     42000
3087
1000
x =
399
500
x +
133
1000
x
    The equation is reduced to :
     42000
3087
1000
x =
931
1000
x

    Transposition :
      -
3087
1000
x
931
1000
x = - 42000

    Combine the items on the left of the equation:
      -
2009
500
x = - 42000

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     42000 =
2009
500
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 :
     
2009
500
x = 42000

    The coefficient of the unknown number is reduced to 1 :
      x = 42000 ÷
2009
500
        = 42000 ×
500
2009
        = 6000 ×
500
287

    We obtained :
      x =
3000000
287
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 10452.961672



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