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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 (x÷2)÷(x÷4)+(x÷2)÷(x÷4-20) = 5 .
    Question type: Equation
    Solution:Original question:
     ( x ÷ 2) ÷ ( x ÷ 4) + ( x ÷ 2) ÷ ( x ÷ 420) = 5
     Multiply both sides of the equation by:( x ÷ 4)
     ( x ÷ 2) + ( x ÷ 2) ÷ ( x ÷ 420) × ( x ÷ 4) = 5( x ÷ 4)
    Remove a bracket on the left of the equation::
      x ÷ 2 + ( x ÷ 2) ÷ ( x ÷ 420) × ( x ÷ 4) = 5( x ÷ 4)
    Remove a bracket on the right of the equation::
      x ÷ 2 + ( x ÷ 2) ÷ ( x ÷ 420) × ( x ÷ 4) = 5 x ÷ 4
    The equation is reduced to :
      x ×
1
2
+ ( x ÷ 2) ÷ ( x ÷ 420) × ( x ÷ 4) =
5
4
x
     Multiply both sides of the equation by:( x ÷ 420)
     
1
2
x ( x ÷ 420) + ( x ÷ 2)( x ÷ 4) =
5
4
x ( x ÷ 420)
    Remove a bracket on the left of the equation:
     
1
2
x x ÷ 4
1
2
x × 20 + ( x ÷ 2)( x ÷ 4) =
5
4
x ( x ÷ 420)
    Remove a bracket on the right of the equation::
     
1
2
x x ÷ 4
1
2
x × 20 + ( x ÷ 2)( x ÷ 4) =
5
4
x x ÷ 4
5
4
x × 20
    The equation is reduced to :
     
1
8
x x 10 x + ( x ÷ 2)( x ÷ 4) =
5
16
x x 25 x
    Remove a bracket on the left of the equation:
     
1
8
x x 10 x + x ÷ 2 × ( x ÷ 4) =
5
16
x x 25 x
    Remove a bracket on the left of the equation:
     
1
8
x x 10 x + x ×
1
2
x ÷ 4 =
5
16
x x 25 x
    The equation is reduced to :
     
1
8
x x 10 x + x ×
1
8
x =
5
16
x x 25 x
    
    There are 0 solution(s).


解程的详细方法请参阅:《方程的解法》



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