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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 0.425(a-14) = 0.6a-5 .
    Question type: Equation
    Solution:Original question:
     
17
40
( a 14) =
3
5
a 5
    Remove the bracket on the left of the equation:
     Left side of the equation =
17
40
a
17
40
× 14
                                             =
17
40
a
119
20
    The equation is transformed into :
     
17
40
a
119
20
=
3
5
a 5

    Transposition :
     
17
40
a
3
5
a = - 5 +
119
20

    Combine the items on the left of the equation:
      -
7
40
a = - 5 +
119
20

    Combine the items on the right of the equation:
      -
7
40
a =
19
20

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
      -
19
20
=
7
40
a

    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 :
     
7
40
a = -
19
20

    The coefficient of the unknown number is reduced to 1 :
      a = -
19
20
÷
7
40
        = -
19
20
×
40
7
        = - 19 ×
2
7

    We obtained :
      a = -
38
7
    This is the solution of the equation.

    Convert the result to decimal form :
      a = - 5.428571



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