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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 30% = [0.2×2×(720÷X)×0.4]÷[1-0.2×2×(720÷X)×0.4] .
    Question type: Equation
    Solution:Original question:
     
30
100
 = (
1
5
 × 2(720 ÷ X ) ×
2
5
) ÷ (1 −
1
5
 × 2(720 ÷ X ) ×
2
5
)
     Multiply both sides of the equation by:(1 −
1
5
 × 2(720 ÷ X ) ×
2
5
)
     
30
100
(1 −
1
5
 × 2(720 ÷ X ) ×
2
5
) = (
1
5
 × 2(720 ÷ X ) ×
2
5
)
    Remove a bracket on the left of the equation:：
     
30
100
 × 1 −
30
100
 ×
1
5
 × 2(720 ÷ X ) ×
2
5
 = (
1
5
 × 2(720 ÷ X ) ×
2
5
)
    Remove a bracket on the right of the equation:：
     
30
100
 × 1 −
30
100
 ×
1
5
 × 2(720 ÷ X ) ×
2
5
 =
1
5
 × 2(720 ÷ X ) ×
2
5
    The equation is reduced to :
     
3
10
 −
6
125
(720 ÷ X ) =
4
25
(720 ÷ X )
    Remove a bracket on the left of the equation:
     
3
10
 −
6
125
 × 720 ÷ X =
4
25
(720 ÷ X )
    Remove a bracket on the right of the equation:：
     
3
10
 −
6
125
 × 720 ÷ X =
4
25
 × 720 ÷ X
    The equation is reduced to :
     
3
10
 −
864
25
 ÷ X =
576
5
 ÷ X
     Multiply both sides of the equation by: X
     
3
10
 X −
864
25
 =
576
5
 ÷ 1 × 1

    Transposition :
     
3
10
 X =
576
5
 ÷ 1 × 1 +
864
25

    Calculate the items on the right of the equation:
     
3
10
 X =
576
5
 +
864
25

    Combine the items on the right of the equation:
     
3
10
 X =
3744
25

    The coefficient of the unknown number is reduced to 1 :
      X =
3744
25
 ÷
3
10
        =
3744
25
 ×
10
3
        =
1248
5
 × 2

    We obtained :
      X =
2496
5
    This is the solution of the equation.

    Convert the result to decimal form :
      X = 499.2



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