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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+8%）+（1-P）*（1+8%）*40% = 1+3% .
    Question type: Equation
    Solution:Original question:
      P (1 +
8
100
) + (1 − P )(1 +
8
100
) ×
40
100
 = 1 +
3
100
    Remove the bracket on the left of the equation:
     Left side of the equation = P × 1 + P ×
8
100
 + (1 − P )(1 +
8
100
) ×
40
100
                                             =
27
25
 P + (1 − P )(1 +
8
100
) ×
40
100
                                             =
27
25
 P + 1(1 +
8
100
) ×
40
100
 − P (1 +
8
100
) ×
40
100
                                             =
27
25
 P +
2
5
(1 +
8
100
) − P (1 +
8
100
) ×
40
100
                                             =
27
25
 P +
2
5
 × 1 +
2
5
 ×
8
100
 − P (1 +
8
100
) ×
40
100
                                             =
27
25
 P +
2
5
 +
4
125
 − P (1 +
8
100
) ×
40
100
                                             =
27
25
 P +
54
125
 − P (1 +
8
100
) ×
40
100
                                             =
27
25
 P +
54
125
 − P × 1 ×
40
100
 − P ×
8
100
 ×
40
100
                                             =
27
25
 P +
54
125
 − P ×
2
5
 − P ×
4
125
                                             =
81
125
 P +
54
125
    The equation is transformed into :
     
81
125
 P +
54
125
 = 1 +
3
100
     Right side of the equation =
103
100
    The equation is transformed into :
     
81
125
 P +
54
125
 =
103
100

    Transposition :
     
81
125
 P =
103
100
 −
54
125

    Combine the items on the right of the equation:
     
81
125
 P =
299
500

    The coefficient of the unknown number is reduced to 1 :
      P =
299
500
 ÷
81
125
        =
299
500
 ×
125
81
        =
299
4
 ×
1
81

    We obtained :
      P =
299
324
    This is the solution of the equation.

    Convert the result to decimal form :
      P = 0.92284



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