Mathematics
         
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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 10÷x = 12÷(x+2)+0.5 .
    Question type: Equation
    Solution:Original question:
     10 ÷ x = 12 ÷ ( x + 2) +
1
2
     Multiply both sides of the equation by: x  ,  ( x + 2)
     10( x + 2) = 12 x +
1
2
x ( x + 2)
    Remove a bracket on the left of the equation::
     10 x + 10 × 2 = 12 x +
1
2
x ( x + 2)
    Remove a bracket on the right of the equation::
     10 x + 10 × 2 = 12 x +
1
2
x x +
1
2
x × 2
    The equation is reduced to :
     10 x + 20 = 12 x +
1
2
x x + 1 x
    The equation is reduced to :
     10 x + 20 = 13 x +
1
2
x x

    After the equation is converted into a general formula, it is converted into:
    ( x + 10 )( x - 4 )=0
    From
        x + 10 = 0
        x - 4 = 0

    it is concluded that::
        x1=-10
        x2=4
    
    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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