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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 2/d+1/(d+2)+1/(d+5) = 1/(d+0.5) .
    Question type: Equation
    Solution:Original question:
     2 ÷ d + 1 ÷ ( d + 2) + 1 ÷ ( d + 5) = 1 ÷ ( d +
1
2
)
     Multiply both sides of the equation by: d  ,  ( d +
1
2
)
     2( d +
1
2
) + 1 ÷ ( d + 2) × d ( d +
1
2
) + 1 ÷ ( d + 5) × d ( d +
1
2
) = 1 d
    Remove a bracket on the left of the equation::
     2 d + 2 ×
1
2
+ 1 ÷ ( d + 2) × d ( d +
1
2
) + 1 ÷ ( d + 5) × d ( d +
1
2
) = 1 d
    The equation is reduced to :
     2 d + 1 + 1 ÷ ( d + 2) × d ( d +
1
2
) + 1 ÷ ( d + 5) × d ( d +
1
2
) = 1 d
     Multiply both sides of the equation by:( d + 2)
     2 d ( d + 2) + 1( d + 2) + 1 d ( d +
1
2
) + 1 ÷ ( d + 5) × d ( d +
1
2
) = 1 d ( d + 2)
    Remove a bracket on the left of the equation:
     2 d d + 2 d × 2 + 1( d + 2) + 1 d ( d +
1
2
) + 1 = 1 d ( d + 2)
    Remove a bracket on the right of the equation::
     2 d d + 2 d × 2 + 1( d + 2) + 1 d ( d +
1
2
) + 1 = 1 d d + 1 d × 2
    The equation is reduced to :
     2 d d + 4 d + 1( d + 2) + 1 d ( d +
1
2
) + 1 ÷ ( d + 5) = 1 d d + 2 d
     Multiply both sides of the equation by:( d + 5)
     2 d d ( d + 5) + 4 d ( d + 5) + 1( d + 2)( d + 5) + 1 d = 1 d d ( d + 5) + 2 d ( d + 5)
    Remove a bracket on the left of the equation:
     2 d d d + 2 d d × 5 + 4 d ( d + 5) + 1 = 1 d d ( d + 5) + 2 d ( d + 5)
    Remove a bracket on the right of the equation::
     2 d d d + 2 d d × 5 + 4 d ( d + 5) + 1 = 1 d d d + 1 d d × 5 + 2 d ( d + 5)
    The equation is reduced to :
     2 d d d + 10 d d + 4 d ( d + 5) + 1( d + 2) = 1 d d d + 5 d d + 2 d ( d + 5)
    Remove a bracket on the left of the equation:
     2 d d d + 10 d d + 4 d d + 4 d = 1 d d d + 5 d d + 2 d ( d + 5)
    Remove a bracket on the right of the equation::
     2 d d d + 10 d d + 4 d d + 4 d = 1 d d d + 5 d d + 2 d d + 2 d
    The equation is reduced to :
     2 d d d + 10 d d + 4 d d + 20 d = 1 d d d + 5 d d + 2 d d + 10 d
    Remove a bracket on the left of the equation:
     2 d d d + 10 d d + 4 d d + 20 d = 1 d d d + 5 d d + 2 d d + 10 d
    The equation is reduced to :
     2 d d d + 10 d d + 4 d d + 20 d = 1 d d d + 5 d d + 2 d d + 10 d
    Remove a bracket on the left of the equation:
     2 d d d + 10 d d + 4 d d + 20 d = 1 d d d + 5 d d + 2 d d + 10 d
    The equation is reduced to :
     2 d d d + 10 d d + 4 d d + 20 d = 1 d d d + 5 d d + 2 d d + 10 d
    The equation is reduced to :
     2 d d d + 10 d d + 4 d d + 25 d = 1 d d d + 5 d d + 2 d d + 10 d
    Remove a bracket on the left of the equation:
     2 d d d + 10 d d + 4 d d + 25 d = 1 d d d + 5 d d + 2 d d + 10 d
    The equation is reduced to :
     2 d d d + 10 d d + 4 d d + 25 d = 1 d d d + 5 d d + 2 d d + 10 d

    
        d≈-3.747108 , keep 6 decimal places
    
    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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