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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+30%)x×70%+(250-x)×(1+20%)×70%-250 = 33.5 .
    Question type: Equation
    Solution:Original question:
     (1 +
30
100
) x ×
70
100
+ (250 x )(1 +
20
100
) ×
70
100
250 =
67
2
    Remove the bracket on the left of the equation:
     Left side of the equation = 1 x ×
70
100
+
30
100
x ×
70
100
+ (250 x )(1 +
20
100
) ×
70
100
250
                                             =
7
10
x +
21
100
x + (250 x )(1 +
20
100
) ×
70
100
250
                                             =
91
100
x + (250 x )(1 +
20
100
) ×
70
100
250
                                             =
91
100
x + 250(1 +
20
100
) ×
70
100
x (1 +
20
100
) ×
70
100
250
                                             =
91
100
x + 175(1 +
20
100
) x (1 +
20
100
) ×
70
100
250
                                             =
91
100
x + 175 × 1 + 175 ×
20
100
x (1 +
20
100
) ×
70
100
250
                                             =
91
100
x + 175 + 35 x (1 +
20
100
) ×
70
100
250
                                             =
91
100
x 40 x (1 +
20
100
) ×
70
100
                                             =
91
100
x 40 x × 1 ×
70
100
x ×
20
100
×
70
100
                                             =
91
100
x 40 x ×
7
10
x ×
7
50
                                             =
7
100
x 40
    The equation is transformed into :
     
7
100
x 40 =
67
2

    Transposition :
     
7
100
x =
67
2
+ 40

    Combine the items on the right of the equation:
     
7
100
x =
147
2

    The coefficient of the unknown number is reduced to 1 :
      x =
147
2
÷
7
100
        =
147
2
×
100
7
        = 21 × 50

    We obtained :
      x = 1050
    This is the solution of the equation.



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