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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 (2000-X)*0.21+0.79*(-600-X)+(2000-X)*0.95+0.05*(-640-X) = 0 .
    Question type: Equation
    Solution:Original question:
     (2000 X ) ×
21
100
+
79
100
( - 600 X ) + (2000 X ) ×
19
20
+
1
20
( - 640 X ) = 0
    Remove the bracket on the left of the equation:
     Left side of the equation = 2000 ×
21
100
X ×
21
100
+
79
100
( - 600 X ) + (2000 X ) ×
19
20
+
1
20
( - 640 X )
                                             = 420 X ×
21
100
+
79
100
( - 600 X ) + (2000 X ) ×
19
20
+
1
20
( - 640 X )
                                             = 420
21
100
X
79
100
× 600
79
100
X + (2000 X ) ×
19
20
+
1
20
( - 640 X )
                                             = 420
21
100
X 474
79
100
X + (2000 X ) ×
19
20
+
1
20
( - 640 X )
                                             = - 541 X + (2000 X ) ×
19
20
+
1
20
( - 640 X )
                                             = - 541 X + 2000 ×
19
20
X ×
19
20
+
1
20
( - 640 X )
                                             = - 541 X + 1900 X ×
19
20
+
1
20
( - 640 X )
                                             = 1846
39
20
X +
1
20
( - 640 X )
                                             = 1846
39
20
X
1
20
× 640
1
20
X
                                             = 1846
39
20
X 32
1
20
X
                                             = 18142 X
    The equation is transformed into :
     18142 X = 0

    Transposition :
      - 2 X = 01814

    Combine the items on the right of the equation:
      - 2 X = - 1814

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     1814 = 2 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 :
     2 X = 1814

    The coefficient of the unknown number is reduced to 1 :
      X = 1814 ÷ 2
        = 1814 ×
1
2
        = 907 × 1

    We obtained :
      X = 907
    This is the solution of the equation.



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