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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/40%+8/(6+x) = 50%(x/40%+8) .
    Question type: Equation
    Solution:Original question:
      x ÷
40
100
+ 8 ÷ (6 + x ) =
50
100
( x ÷
40
100
+ 8)
     Multiply both sides of the equation by:(6 + x )
      x ÷
40
100
× (6 + x ) + 8 =
50
100
( x ÷
40
100
+ 8)(6 + x )
    Remove a bracket on the left of the equation::
      x ÷
40
100
× 6 + x ÷
40
100
× x + 8 =
50
100
( x ÷
40
100
+ 8)(6 + x )
    Remove a bracket on the right of the equation::
      x ÷
40
100
× 6 + x ÷
40
100
× x + 8 =
50
100
x ÷
40
100
× (6 + x ) +
50
100
× 8(6 + x )
    The equation is reduced to :
      x × 15 + x ×
100
40
x + 8 =
5
4
x (6 + x ) + 4(6 + x )
    Remove a bracket on the right of the equation::
     15 x + x ×
100
40
x + 8 =
5
4
x × 6 +
5
4
x x + 4(6 + x )
    The equation is reduced to :
     15 x + x ×
100
40
x + 8 =
15
2
x +
5
4
x x + 4(6 + x )
    Remove a bracket on the right of the equation::
     15 x + x ×
100
40
x + 8 =
15
2
x +
5
4
x x + 4 × 6 + 4 x
    The equation is reduced to :
     15 x + x ×
100
40
x + 8 =
15
2
x +
5
4
x x + 24 + 4 x
    The equation is reduced to :
     15 x + x ×
100
40
x + 8 =
23
2
x +
5
4
x x + 24

    
        x1=-4, it is the incremental root of the eqution.
    
    There are 1 solution(s).

    There is(are) 1 additive root(s) and 0 real solutions.
(Note:additive root, generated by computer, but not suitable for this equation.)


解一元一次方程的详细方法请参阅:《一元一次方程的解法》



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