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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 0.94r = 1-1/(1+r)×(1+r)×(1+r)×(1+r)×(1+r) .
    Question type: Equation
    Solution:Original question:
     
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r = 11 ÷ (1 + r ) × (1 + r )(1 + r )(1 + r )(1 + r )
     Multiply both sides of the equation by:(1 + r )
     
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r (1 + r ) = 1(1 + r )1(1 + r )(1 + r )(1 + r )(1 + r )
    Remove a bracket on the left of the equation::
     
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r × 1 +
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r r = 1(1 + r )1(1 + r )(1 + r )(1 + r )(1 + r )
    Remove a bracket on the right of the equation::
     
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r × 1 +
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r r = 1 × 1 + 1 r 1(1 + r )(1 + r )(1 + r )(1 + r )
    The equation is reduced to :
     
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r +
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r r = 1 + 1 r 1(1 + r )(1 + r )(1 + r )(1 + r )
    Remove a bracket on the right of the equation::
     
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r +
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r r = 1 + 1 r 1 × 1(1 + r )(1 + r )(1 + r )1 r (1 + r )(1 + r )
    The equation is reduced to :
     
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r +
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r r = 1 + 1 r 1(1 + r )(1 + r )(1 + r )1 r (1 + r )(1 + r )(1 + r )
    Remove a bracket on the right of the equation::
     
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r +
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r r = 1 + 1 r 1 × 1(1 + r )(1 + r )1 r (1 + r )(1 + r )1
    The equation is reduced to :
     
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r +
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r r = 1 + 1 r 1(1 + r )(1 + r )1 r (1 + r )(1 + r )1 r
    Remove a bracket on the right of the equation::
     
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r +
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r r = 1 + 1 r 1 × 1(1 + r )1 r (1 + r )1 r (1 + r )
    The equation is reduced to :
     
47
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r +
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r r = 1 + 1 r 1(1 + r )1 r (1 + r )1 r (1 + r )(1 + r )
    Remove a bracket on the right of the equation::
     
47
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r +
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r r = 1 + 1 r 1 × 11 r 1 r (1 + r )1 r
    The equation is reduced to :
     
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r +
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r r = 1 + 1 r 11 r 1 r (1 + r )1 r (1 + r )
    The equation is reduced to :
     
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r +
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r r = 0 + 0 r 1 r (1 + r )1 r (1 + r )(1 + r )1 r
    Remove a bracket on the right of the equation::
     
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r +
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r r = - 1 r × 11 r r 1 r (1 + r )(1 + r )1 r
    The equation is reduced to :
     
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r +
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r r = - 1 r 1 r r 1 r (1 + r )(1 + r )1 r (1 + r )
    Remove a bracket on the right of the equation::
     
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r +
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r r = - 1 r 1 r r 1 r × 1(1 + r )1 r r
    The equation is reduced to :
     
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r +
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r r = - 1 r 1 r r 1 r (1 + r )1 r r (1 + r )
    Remove a bracket on the right of the equation::
     
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r +
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r r = - 1 r 1 r r 1 r × 11 r r 1
    The equation is reduced to :
     
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r +
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r r = - 1 r 1 r r 1 r 1 r r 1 r
    The equation is reduced to :
     
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r +
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r r = - 2 r 1 r r 1 r r 1 r r (1 + r )
    Remove a bracket on the right of the equation::
     
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r +
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r r = - 2 r 1 r r 1 r r 1 r r × 1
    The equation is reduced to :
     
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r +
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r r = - 2 r 1 r r 1 r r 1 r r 1
    Remove a bracket on the right of the equation::
     
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r +
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r r = - 2 r 1 r r 1 r r 1 r r 1
    The equation is reduced to :
     
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r +
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r r = - 2 r 1 r r 1 r r 1 r r 1

    
        r=0
    
    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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