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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 500000 = M／(1+10％)+M／(1+10％)2 .
    Question type: Equation
    Solution:Original question:
     500000 = M ÷ (1 +
10
100
) + M ÷ (1 +
10
100
) × 2
     Multiply both sides of the equation by:(1 +
10
100
)
     500000(1 +
10
100
) = M + M ÷ (1 +
10
100
) × 2(1 +
10
100
)
    Remove a bracket on the left of the equation:：
     500000 × 1 + 500000 ×
10
100
 = M + M ÷ (1 +
10
100
) × 2(1 +
10
100
)
    Remove a bracket on the right of the equation:：
     500000 × 1 + 500000 ×
10
100
 = M + M ÷ (1 +
10
100
) × 2 × 1 + M ÷ (1 +
10
100
) × 2 ×
10
100
    The equation is reduced to :
     500000 + 50000 = M + M ÷ (1 +
10
100
) × 2 + M ÷ (1 +
10
100
) ×
1
5
    The equation is reduced to :
     550000 = M + M ÷ (1 +
10
100
) × 2 + M ÷ (1 +
10
100
) ×
1
5
     Multiply both sides of the equation by:(1 +
10
100
)
     550000(1 +
10
100
) = M (1 +
10
100
) + M × 2 + M ÷ (1 +
10
100
) ×
1
5
(1 +
10
100
)
    Remove a bracket on the left of the equation:
     550000 × 1 + 550000 ×
10
100
 = M (1 +
10
100
) + M × 2 + M ÷ (1 +
10
100
) ×
1
5
(1 +
10
100
)
    Remove a bracket on the right of the equation:：
     550000 × 1 + 550000 ×
10
100
 = M × 1 + M ×
10
100
 + M × 2 + M ÷ (1 +
10
100
) ×
1
5
(1 +
10
100
)
    The equation is reduced to :
     550000 + 55000 = M × 1 + M ×
10
100
 + M × 2 + M ÷ (1 +
10
100
) ×
1
5
(1 +
10
100
)
    The equation is reduced to :
     605000 =
31
10
 M + M ÷ (1 +
10
100
) ×
1
5
(1 +
10
100
)
     Multiply both sides of the equation by:(1 +
10
100
)
     605000(1 +
10
100
) =
31
10
 M (1 +
10
100
) + M ×
1
5
(1 +
10
100
)
    Remove a bracket on the left of the equation:
     605000 × 1 + 605000 ×
10
100
 =
31
10
 M (1 +
10
100
) + M ×
1
5
(1 +
10
100
)
    Remove a bracket on the right of the equation:：
     605000 × 1 + 605000 ×
10
100
 =
31
10
 M × 1 +
31
10
 M ×
10
100
 + M ×
1
5
(1 +
10
100
)
    The equation is reduced to :
     605000 + 60500 =
31
10
 M +
31
100
 M + M ×
1
5
(1 +
10
100
)
    The equation is reduced to :
     665500 =
341
100
 M + M ×
1
5
(1 +
10
100
)
    Remove a bracket on the right of the equation:：
     665500 =
341
100
 M + M ×
1
5
 × 1 + M ×
1
5
 ×
10
100
    The equation is reduced to :
     665500 =
341
100
 M + M ×
1
5
 + M ×
1
50
    The equation is reduced to :
     665500 =
363
100
 M

    Transposition :
      -
363
100
 M = - 665500

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     665500 =
363
100
 M

    If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
     
363
100
 M = 665500

    The coefficient of the unknown number is reduced to 1 :
      M = 665500 ÷
363
100
        = 665500 ×
100
363
        = 5500 ×
100
3

    We obtained :
      M =
550000
3
    This is the solution of the equation.

    Convert the result to decimal form :
      M = 183333.333333



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