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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 4.32*(25-x)+259.4 = (6.48*x+192+50)/1.5 .
    Question type: Equation
    Solution:Original question:
     
108
25
(25 x ) +
1297
5
= (
162
25
x + 192 + 50) ÷
3
2
    Remove the bracket on the left of the equation:
     Left side of the equation =
108
25
× 25
108
25
x +
1297
5
                                             = 108
108
25
x +
1297
5
                                             =
1837
5
108
25
x
    The equation is transformed into :
     
1837
5
108
25
x = (
162
25
x + 192 + 50) ÷
3
2
    Remove the bracket on the right of the equation:
     Right side of the equation =
162
25
x ×
2
3
+ 192 ×
2
3
+ 50 ×
2
3
                                               =
108
25
x + 128 +
100
3
                                               =
108
25
x +
484
3
    The equation is transformed into :
     
1837
5
108
25
x =
108
25
x +
484
3

    Transposition :
      -
108
25
x
108
25
x =
484
3
1837
5

    Combine the items on the left of the equation:
      -
216
25
x =
484
3
1837
5

    Combine the items on the right of the equation:
      -
216
25
x = -
3091
15

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
3091
15
=
216
25
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 :
     
216
25
x =
3091
15

    The coefficient of the unknown number is reduced to 1 :
      x =
3091
15
÷
216
25
        =
3091
15
×
25
216
        =
3091
3
×
5
216

    We obtained :
      x =
15455
648
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 23.850309



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