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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 {5000*12*0.9-70%*186X*4.5%}/{30%*186X+5%*186X} = 3.8% .
    Question type: Equation
    Solution:Original question:
     (5000 × 12 ×
9
10
70
100
× 186 X ×
9
200
) ÷ (
30
100
× 186 X +
5
100
× 186 X ) =
19
500
     Multiply both sides of the equation by:(
30
100
× 186 X +
5
100
× 186 X )
     (5000 × 12 ×
9
10
70
100
× 186 X ×
9
200
) =
19
500
(
30
100
× 186 X +
5
100
× 186 X )
    Remove a bracket on the left of the equation::
     5000 × 12 ×
9
10
70
100
× 186 X ×
9
200
=
19
500
(
30
100
× 186 X +
5
100
× 186 X )
    Remove a bracket on the right of the equation::
     5000 × 12 ×
9
10
70
100
× 186 X ×
9
200
=
19
500
×
30
100
× 186 X +
19
500
×
5
100
× 186 X
    The equation is reduced to :
     54000
5859
1000
X =
5301
2500
X +
1767
5000
X
    The equation is reduced to :
     54000
5859
1000
X =
12369
5000
X

    Transposition :
      -
5859
1000
X
12369
5000
X = - 54000

    Combine the items on the left of the equation:
      -
5208
625
X = - 54000

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     54000 =
5208
625
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 :
     
5208
625
X = 54000

    The coefficient of the unknown number is reduced to 1 :
      X = 54000 ÷
5208
625
        = 54000 ×
625
5208
        = 2250 ×
625
217

    We obtained :
      X =
1406250
217
    This is the solution of the equation.

    Convert the result to decimal form :
      X = 6480.414747



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