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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 50%(8+x) = (8+x)/(6+40%x) .
    Question type: Equation
    Solution:Original question:
     
50
100
(8 + x ) = (8 + x ) ÷ (6 +
40
100
x )
     Multiply both sides of the equation by:(6 +
40
100
x )
     
50
100
(8 + x )(6 +
40
100
x ) = (8 + x )
    Remove a bracket on the left of the equation::
     
50
100
× 8(6 +
40
100
x ) +
50
100
x (6 +
40
100
x ) = (8 + x )
    Remove a bracket on the right of the equation::
     
50
100
× 8(6 +
40
100
x ) +
50
100
x (6 +
40
100
x ) = 8 + x
    The equation is reduced to :
     4(6 +
40
100
x ) +
50
100
x (6 +
40
100
x ) = 8 + x
    Remove a bracket on the left of the equation:
     4 × 6 + 4 ×
40
100
x +
50
100
x (6 +
40
100
x ) = 8 + x
    The equation is reduced to :
     24 +
8
5
x +
50
100
x (6 +
40
100
x ) = 8 + x
    Remove a bracket on the left of the equation:
     24 +
8
5
x +
50
100
x × 6 +
50
100
x ×
40
100
x = 8 + x
    The equation is reduced to :
     24 +
8
5
x + 3 x +
1
5
x x = 8 + x
    The equation is reduced to :
     24 +
23
5
x +
1
5
x x = 8 + x

    After the equation is converted into a general formula, it is converted into:
    ( x + 10 )( x + 8 )=0
    From
        x + 10 = 0
        x + 8 = 0

    it is concluded that::
        x1=-10
        x2=-8
    
    There are 2 solution(s).


解一元二次方程的详细方法请参阅:《一元二次方程的解法》



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