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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 1-(1/X+6/(X+12)] = (X-6)*[1/(X+12)] .
    Question type: Equation
    Solution:Original question:
     1(1 ÷ X + 6 ÷ ( X + 12)) = ( X 6)(1 ÷ ( X + 12))
    Remove a bracket on the left of the equation::
     11 ÷ X 6 ÷ ( X + 12) = ( X 6)(1 ÷ ( X + 12))
    Remove a bracket on the right of the equation::
     11 ÷ X 6 ÷ ( X + 12) = X (1 ÷ ( X + 12))6(1 ÷ ( X + 12))
     Multiply both sides of the equation by: X
     1 X 16 ÷ ( X + 12) × X = X (1 ÷ ( X + 12)) X 6(1 ÷ ( X + 12)) X
    Remove a bracket on the right of the equation::
     1 X 16 ÷ ( X + 12) × X = X × 1 ÷ ( X + 12) × X 6(1 ÷ ( X + 12)) X
     Multiply both sides of the equation by:( X + 12)
     1 X ( X + 12)1( X + 12)6 X = X × 1 X 6(1 ÷ ( X + 12)) X ( X + 12)
    Remove a bracket on the left of the equation:
     1 X X + 1 X × 121( X + 12)6 X = X × 1 X 6(1 ÷ ( X + 12)) X ( X + 12)
    Remove a bracket on the right of the equation::
     1 X X + 1 X × 121( X + 12)6 X = X × 1 X 6 × 1 ÷ ( X + 12) × X ( X + 12)
    The equation is reduced to :
     1 X X + 12 X 1( X + 12)6 X = X × 1 X 6 ÷ ( X + 12) × X ( X + 12)
    The equation is reduced to :
     1 X X + 6 X 1( X + 12) = X × 1 X 6 ÷ ( X + 12) × X ( X + 12)
     Multiply both sides of the equation by:( X + 12)
     1 X X ( X + 12) + 6 X ( X + 12)1( X + 12)( X + 12) = X × 1 X ( X + 12)6 X ( X + 12)
    Remove a bracket on the left of the equation:
     1 X X X + 1 X X × 12 + 6 X ( X + 12)1 = X × 1 X ( X + 12)6 X ( X + 12)
    Remove a bracket on the right of the equation::
     1 X X X + 1 X X × 12 + 6 X ( X + 12)1 = X × 1 X X + X × 1 X × 126 X ( X + 12)
    The equation is reduced to :
     1 X X X + 12 X X + 6 X ( X + 12)1( X + 12) = X × 1 X X + X × 12 X 6 X ( X + 12)
    Remove a bracket on the left of the equation:
     1 X X X + 12 X X + 6 X X + 6 X = X × 1 X X + X × 12 X 6 X ( X + 12)
    Remove a bracket on the right of the equation::
     1 X X X + 12 X X + 6 X X + 6 X = X × 1 X X + X × 12 X 6 X X 6 X
    The equation is reduced to :
     1 X X X + 12 X X + 6 X X + 72 X = X × 1 X X + X × 12 X 6 X X 72 X
    Remove a bracket on the left of the equation:
     1 X X X + 12 X X + 6 X X + 72 X = X × 1 X X + X × 12 X 6 X X 72 X
    The equation is reduced to :
     1 X X X + 12 X X + 6 X X + 72 X = X × 1 X X + X × 12 X 6 X X 72 X
    Remove a bracket on the left of the equation:
     1 X X X + 12 X X + 6 X X + 72 X = X × 1 X X + X × 12 X 6 X X 72 X
    The equation is reduced to :
     1 X X X + 12 X X + 6 X X + 72 X = X × 1 X X + X × 12 X 6 X X 72 X
    The equation is reduced to :
     1 X X X + 12 X X + 6 X X + 60 X = X × 1 X X + X × 12 X 6 X X 72 X
    Remove a bracket on the left of the equation:
     1 X X X + 12 X X + 6 X X + 60 X = X × 1 X X + X × 12 X 6 X X 72 X

    
        X1=
12
11
    
    There are 1 solution(s).


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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