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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 1% = P*（46-40）/40+（1-P）*（30-40）40 .
    Question type: Equation
    Solution:Original question:
     
1
100
 = P (46 − 40) ÷ 40 + (1 − P )(30 − 40) × 40
    Remove the bracket on the right of the equation:
     Right side of the equation = P × 46 ×
1
40
 − P × 40 ×
1
40
 + (1 − P )(30 − 40) × 40
                                               = P ×
23
20
 − P × 1 + (1 − P )(30 − 40) × 40
                                               =
3
20
 P + (1 − P )(30 − 40) × 40
                                               =
3
20
 P + 1(30 − 40) × 40 − P (30 − 40) × 40
                                               =
3
20
 P + 40(30 − 40) − P (30 − 40) × 40
                                               =
3
20
 P + 40 × 30 − 40 × 40 − P (30 − 40) × 40
                                               =
3
20
 P + 1200 − 1600 − P (30 − 40) × 40
                                               =
3
20
 P − 400 − P (30 − 40) × 40
                                               =
3
20
 P − 400 − P × 30 × 40 + P × 40 × 40
                                               =
3
20
 P − 400 − P × 1200 + P × 1600
                                               =
8003
20
 P − 400
    The equation is transformed into :
     
1
100
 =
8003
20
 P − 400

    Transposition :
      -
8003
20
 P = - 400 −
1
100

    Combine the items on the right of the equation:
      -
8003
20
 P = -
40001
100

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
40001
100
 =
8003
20
 P

    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 :
     
8003
20
 P =
40001
100

    The coefficient of the unknown number is reduced to 1 :
      P =
40001
100
 ÷
8003
20
        =
40001
100
 ×
20
8003
        =
40001
5
 ×
1
8003

    We obtained :
      P =
40001
40015
    This is the solution of the equation.

    Convert the result to decimal form :
      P = 0.99965



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