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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 75% = (X+40%+9%+7%）+4.5%(X+40%+9%+7%) .
    Question type: Equation
    Solution:Original question:
     
75
100
 = ( X +
40
100
 +
9
100
 +
7
100
) +
9
200
( X +
40
100
 +
9
100
 +
7
100
)
    Remove the bracket on the right of the equation:
     Right side of the equation = X +
40
100
 +
9
100
 +
7
100
 +
9
200
( X +
40
100
 +
9
100
 +
7
100
)
                                               = X +
14
25
 +
9
200
( X +
40
100
 +
9
100
 +
7
100
)
                                               = X +
14
25
 +
9
200
 X +
9
200
 ×
40
100
 +
9
200
 ×
9
100
 +
9
200
 ×
7
100
                                               = X +
14
25
 +
9
200
 X +
9
500
 +
81
20000
 +
63
20000
                                               =
209
200
 X +
1463
2500
    The equation is transformed into :
     
75
100
 =
209
200
 X +
1463
2500

    Transposition :
      -
209
200
 X =
1463
2500
 −
75
100

    Combine the items on the right of the equation:
      -
209
200
 X = -
103
625

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
103
625
 =
209
200
 X

    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 :
     
209
200
 X =
103
625

    The coefficient of the unknown number is reduced to 1 :
      X =
103
625
 ÷
209
200
        =
103
625
 ×
200
209
        =
103
25
 ×
8
209

    We obtained :
      X =
824
5225
    This is the solution of the equation.

    Convert the result to decimal form :
      X = 0.157703



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