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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 P(1+0.85/1.05) = 0.15*(25000+50000/1.05-P)+0.85*(0.15*(50000+50000)+0.85*50000/1.05) .
    Question type: Equation
    Solution:Original question:
      P (1 +
17
20
 ÷
21
20
) =
3
20
(25000 + 50000 ÷
21
20
 − P ) +
17
20
(
3
20
(50000 + 50000) +
17
20
 × 50000 ÷
21
20
)
    Remove the bracket on the left of the equation:
     Left side of the equation = P × 1 + P ×
17
20
 ÷
21
20
                                             = P × 1 + P ×
17
21
                                             =
38
21
 P
    The equation is transformed into :
     
38
21
 P =
3
20
(25000 + 50000 ÷
21
20
 − P ) +
17
20
(
3
20
(50000 + 50000) +
17
20
 × 50000 ÷
21
20
)
    Remove the bracket on the right of the equation:
     Right side of the equation =
3
20
 × 25000 +
3
20
 × 50000 ÷
21
20
 −
3
20
 P +
17
20
(
3
20
(50000 + 50000) +
17
20
 × 50000 ÷
21
20
)
                                               = 3750 +
50000
7
 −
3
20
 P +
17
20
(
3
20
(50000 + 50000) +
17
20
 × 50000 ÷
21
20
)
                                               =
76250
7
 −
3
20
 P +
17
20
(
3
20
(50000 + 50000) +
17
20
 × 50000 ÷
21
20
)
                                               =
76250
7
 −
3
20
 P +
17
20
 ×
3
20
(50000 + 50000) +
17
20
 ×
17
20
 × 50000 ÷
21
20
                                               =
76250
7
 −
3
20
 P +
51
400
(50000 + 50000) +
722500
21
                                               =
951250
21
 −
3
20
 P +
51
400
(50000 + 50000)
                                               =
951250
21
 −
3
20
 P +
51
400
 × 50000 +
51
400
 × 50000
                                               =
951250
21
 −
3
20
 P + 6375 + 6375
                                               =
1219000
21
 −
3
20
 P
    The equation is transformed into :
     
38
21
 P =
1219000
21
 −
3
20
 P

    Transposition :
     
38
21
 P +
3
20
 P =
1219000
21

    Combine the items on the left of the equation:
     
823
420
 P =
1219000
21

    The coefficient of the unknown number is reduced to 1 :
      P =
1219000
21
 ÷
823
420
        =
1219000
21
 ×
420
823
        = 1219000 ×
20
823

    We obtained :
      P =
24380000
823
    This is the solution of the equation.

    Convert the result to decimal form :
      P = 29623.329283



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