Mathematics
         
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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 2% = 25%*p-0.2*(1-p) .
    Question type: Equation
    Solution:Original question:
     
2
100
=
25
100
p -
1
5
(1 - p )
    Remove the bracket on the right of the equation:
     Right side of the equation =
25
100
p -
1
5
× 1 +
1
5
p
                                               =
25
100
p -
1
5
+
1
5
p
                                               =
9
20
p -
1
5
    The equation is transformed into :
     
2
100
=
9
20
p -
1
5

    Transposition :
      -
9
20
p = -
1
5
-
2
100

    Combine the items on the right of the equation:
      -
9
20
p = -
11
50

    Multiply both sides of the equation by -1 :
     
9
20
p =
11
50

    The coefficient of the unknown number is reduced to 1 :
      p =
11
50
÷
9
20
        =
11
50
×
20
9
        =
11
5
×
2
9

    Get the solution of the equation :
      p =
22
45

    Convert the result to decimal form :
      p = 0.488889



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