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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 21903P/99160+(1-P)(27/34×0.265+7/34×0.365) = (19/2479×0.465+2460/2479×0.219)P+(1-P)×0.365 .
    Question type: Equation
    Solution:Original question:
     21903 P ÷ 99160 + (1 − P )(27 ÷ 34 ×
53
200
 + 7 ÷ 34 ×
73
200
) = (19 ÷ 2479 ×
93
200
 + 2460 ÷ 2479 ×
219
1000
) P + (1 − P ) ×
73
200
     Left side of the equation =
21903
99160
 P + (1 − P )(27 ÷ 34 ×
53
200
 + 7 ÷ 34 ×
73
200
)
    The equation is transformed into :
     
21903
99160
 P + (1 − P )(27 ÷ 34 ×
53
200
 + 7 ÷ 34 ×
73
200
) = (19 ÷ 2479 ×
93
200
 + 2460 ÷ 2479 ×
219
1000
) P + (1 − P ) ×
73
200
    Remove the bracket on the left of the equation:
     Left side of the equation =
21903
99160
 P + 1(27 ÷ 34 ×
53
200
 + 7 ÷ 34 ×
73
200
) − P (27 ÷ 34 ×
53
200
 + 7 ÷ 34 ×
73
200
)
                                             =
21903
99160
 P + 1 × 27 ÷ 34 ×
53
200
 + 1 × 7 ÷ 34 ×
73
200
 − P (27 ÷ 34 ×
53
200
 + 7 ÷ 34 ×
73
200
)
                                             =
21903
99160
 P +
1431
6800
 +
511
6800
 − P (27 ÷ 34 ×
53
200
 + 7 ÷ 34 ×
73
200
)
                                             =
21903
99160
 P +
971
3400
 − P (27 ÷ 34 ×
53
200
 + 7 ÷ 34 ×
73
200
)
                                             =
21903
99160
 P +
971
3400
 − P × 27 ÷ 34 ×
53
200
 − P × 7 ÷ 34 ×
73
200
                                             =
21903
99160
 P +
971
3400
 − P ×
1431
6800
 − P ×
511
6800

    
        P=1    
    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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