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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 14*1.6%+0.7%X+0.35%*110 = 0.35%X+80%*2%*(X-110) .
    Question type: Equation
    Solution:Original question:
     14 ×
8
500
+
7
1000
X +
7
2000
× 110 =
7
2000
X +
80
100
×
2
100
( X 110)
     Left side of the equation =
28
125
+
7
1000
X +
77
200
                                             =
609
1000
+
7
1000
X
    The equation is transformed into :
     
609
1000
+
7
1000
X =
7
2000
X +
80
100
×
2
100
( X 110)
     Right side of the equation =
7
2000
X +
2
125
( X 110)
    The equation is transformed into :
     
609
1000
+
7
1000
X =
7
2000
X +
2
125
( X 110)
    Remove the bracket on the right of the equation:
     Right side of the equation =
7
2000
X +
2
125
X
2
125
× 110
                                               =
7
2000
X +
2
125
X
44
25
                                               =
39
2000
X
44
25
    The equation is transformed into :
     
609
1000
+
7
1000
X =
39
2000
X
44
25

    Transposition :
     
7
1000
X
39
2000
X = -
44
25
609
1000

    Combine the items on the left of the equation:
      -
1
80
X = -
44
25
609
1000

    Combine the items on the right of the equation:
      -
1
80
X = -
2369
1000

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
2369
1000
=
1
80
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 :
     
1
80
X =
2369
1000

    The coefficient of the unknown number is reduced to 1 :
      X =
2369
1000
÷
1
80
        =
2369
1000
× 80
        =
2369
25
× 2

    We obtained :
      X =
4738
25
    This is the solution of the equation.

    Convert the result to decimal form :
      X = 189.52



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